Can fill a tank in 4 hours after half the tank is filled three more similar taps are opened what is the total time taken to fill the tank completely?

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Discussion :: Pipes and Cistern - General Questions (Q.No.13)

Given:

Tap can fill a tank in = 10 hours

Concept:

Time = remaning capacity/efficiency

Calculation:

Let, the capacity of of tank = 10 unit

Efficiency of tank = 10/10 = 1 unit

Half tank capacity = 10/2 = 5 unit

It will be filled in 5 hours

According to the questin,

Total tap opened = 1 + 4 = 5

Total capacity of 5 taps = 5 unit/h

5 taps can fill the tank in,

⇒ 5/5 = 1

Total time = 5 + 1 = 6 hours

∴ The total time taken to fill the tank completely is 6 hours.

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Answers

Related A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? a)3 hrb)1 hr 30 minc)2 hr 30 mind)2 hrCorrect answer is option 'C'. Can you explain this answer?

Tank fill 1/4th tank in 1 hour.Time taken to fill 1/2 tank is 2 hours,

4 such taps will fill 1/2 tank in 30 minutes

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A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
pls solve it.....

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A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? a)3 hrb)1 hr 30 minc)2 hr 30 mind)2 hrCorrect answer is option 'C'. Can you explain this answer? for LR 2022 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? a)3 hrb)1 hr 30 minc)2 hr 30 mind)2 hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? a)3 hrb)1 hr 30 minc)2 hr 30 mind)2 hrCorrect answer is option 'C'. Can you explain this answer?.

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Discussion :: Pipes and Cistern - General Questions (Q.No.13)

13.

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

[A].	3 hrs 15 min
[B].	3 hrs 45 min
[C].	4 hrs
[D].	4 hrs 15 min

Answer: Option B

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the four taps in 1 hour =		4 x	1		=	2	.
6	3

Remaining part =		1 -	1		=	1	.
2	2

	2	:	1	:: 1 : x
3	2

x =		1	x 1 x	3		=	3	hours i.e., 45 mins.
2	2	4

So, total time taken = 3 hrs. 45 mins.

Sravanthi said: (Jul 20, 2010)
Time taken by 1 tap to fill half of the tank is =3hrs. part filled by 4 taps in 1 hr=4*1/6=2/3. then remaining part= 1-2/3=1/3 how is it 1/2 can anybody please tell and what this ::symbol mean

Arun said: (Dec 4, 2010)
:: is the sign of proportionality

Lekha said: (Dec 11, 2010)
a,b,c,d=pipes 6 hrs time a is taken=3 hrs time a+a+b+c=3hrs each one taken 45 min final 3hrs+45min

Aamir said: (Feb 21, 2011)
How you write 45min lekha please can you explain me the logic, Im not getting it.

Jyothi.k said: (Feb 24, 2011)
Can anybody explain ths clearly?

M.V.KRISHNA said: (Apr 6, 2011)
Given A tap can fill a tank in 6 hours. After half the tank is filled i.e. after 3 hrs. three more similar taps are opened i.e. no. of taps to fill remaining half tank = 4 taps when 1 tap is used = (3 hrs/1 tap) when 4 taps are used = (3 hrs/4 taps)=45min total= 3hrs+45min

Manasa said: (Jun 11, 2011)

NOTE: 1 tap takes 6hours....now by using four similar such taps it take 3/2 hours to fill the tank...... since all of them are capable of filling the tank in 6 hours)therefore they share time equally----6hours/4taps=3/2 hours ) now lets go to the solution::: to fill half of the tank...only one tap is used...therefore it takes 3hours. now 3 more similar taps are used...means now we are using 4 taps which are of same kind.. as explained above.. to fill the tank by the use of four taps----it takes 3/2 hours now what we require is just to fill the half of the tank it takes 3/4 hours i.e [3/2]/[1/2]=3/4

threfore we get---3+3/4 means 3 hours 45 min

Mohan said: (Jul 1, 2011)
Can any one explain clearly this ?

Animesh said: (Dec 7, 2011)
@MANASA How can you write [3/2]/[1/2]= 3/4 ? Its 3 not 3/4.

Reshma said: (Feb 22, 2012)
How can we write 2/3:1/2::1:x?

Shyamala.ch said: (Jun 24, 2012)

A pipe can fill the tank in 6 hours, so in 1 hour the pipe can fill 1/6 th part of the tank. 1 hour--------->1/6 part of tank. 3 hours--------->1/2 part of tank. According to the data which had given in the question:The similar three more taps are opened so total number of taps are:4. These four taps together in hour can fill (1/6+1/6+1/6+1/6=4/6=2/3) 2/3 part of the tank.

So, total time equals to 3.75 hours which is equals to 3 hours 45 minutes.

Om Ouri said: (Oct 8, 2012)
1 hour--------->1/6 part of tank. 3 hours--------->1/2 part of tank. So 1/2 already filled and 1/2 has to be filled. Now 4 similar taps are opened so total time taken is (1/6+1/6+1/6+1/6) =2/3. Time to fill remaining 1/2 is 1/2=2/3*x. X=3/4=.75. Thus total time taken= 3 +.75 = 3.75.

Neha said: (Feb 20, 2013)

1 tap has filled half of the tank in 3 hours and remained half of the tank have to be fill by 4 taps and we know that tank will take total 6 hours to fill. So, now remaining time is 3 hours that is 180 minutes and we have 4 taps so the solution is 180/4=45 min that is the tank taken total time is previous 3 hours that is filled by only 1 tap and by 4 taps is 45 mins.

So the total time is 3 hours and 45 mins.

Shashank said: (Apr 5, 2013)
45 min are calculated as 3/460 = 315 = 45 min. i:e 3/4 of 60 min(1 hr).

Doctor said: (Jul 22, 2014)
1 tap takes 6 hours. 2 taps will take 3 hours. Similarly 4 taps will take one and half hour i.e. 90 minutes to completely fill the tank. Therefore, for half part it will take 45 minutes. First tap will take 3 hours to half fill the tank. Hence, we get 3 hours 45 minutes as answer.

Dee said: (Sep 25, 2014)
If 1 tap takes 6 hours --> 2 taps takes 6/2=3 (half time as fill faster). If 2 taps takes 6/2=3 (half time)---4 taps takes 3/2=1.5 (i.e 1:30 min). 1:30 min= 60 min +30 min= 90 min. 90 min (time taken by 4 tapes to fill full tank). But left is only half tank. So 90/2 = 45 min. Now total time = 3hour+45 min.

Kelvin said: (Apr 3, 2015)

One tap can fill tank completely in 6 hr. Actually, tap's 1 hr work = 1/6. --> Also, one tap can fill tank half in 3 hr. --> When there are 3 more similar taps. Then total taps = 4. 4 tap's 1 hr work = 4/6. Adding, -->3/6 (since tap is filled half i.e. for 3 hrs by 1st tap) + x*4/6 = 1. --> x because remaining x hr will be taken by 4 tap's to fill other half tank. Not necessarily 3 hr. That was taken by 1st tap alone. On solving. -->x = 3/4. Getting total time = 3 hrs (tank filled half by 1st tap) + x. --> 3+3/4. -->15/4.

-->3:45 min.

Aparna said: (Jul 7, 2015)
2/3:1/2::1:x. X = (1/213/2) = 3/4. I did not got these two steps shall you explain me please in this step what is X why we should take the ratio.

Amar said: (Sep 25, 2015)
1. Time taken by a pipe to fill half the tank = 3 hrs. 2. So, time taken by 1st pipe along with 3 other similar pipes (i.e 4 pipes). = 3 hrs/4. = 180 min/4. = 45 min. Adding 1 and 2, Total time taken = 3hr 45 min.

Vicky said: (Jul 6, 2016)

Simple. Tank takes to fill within 6 hours. So half of the tank we stop the waterfall. So half tank fills times 3 hours. So remaining half tank we use 4 pipes. Each pipes s similar so each pipe takes 3 hours to fill the tank. But here we open together all pipes. The remaining 3 hours will be reduced by 4 pipes. 3 hours =180mins. So we know 180/4 pipes = 45mins. So already half tank is filled.

Remaining the half tank has been filled withn 45 mins so, 3hours 45 mins is the answer.

Raja said: (Jul 17, 2016)
Thanks @Vicky. That was clear and simple.

Aditya said: (Sep 11, 2016)
Thanks @Vicky.

JISHNU said: (Nov 12, 2016)
1 pipe takes 6 hrs to fill the tank. So 1 pipe take 3 hrs to fill half the tank. Other half is filled with 4 pipes, The part of the tank filled with 4 pipes in 1 hr = 4 * 1/6 = 2/3. So, the time taken to fill half the tank = (1/2) / (2/3)= (1/2) * (3/2) = 3/4 hrs= 45 minutes. So the total time = 3hrs 45 minutes.

Nithin said: (Dec 4, 2016)
Its pretty much a simple logic. Tone tap 6 hrs to fill. So 3 hrs to half fill. A = 1/6. 4 taps 4a =4 * (1/6). => 2/3. Now x be the tank capacity. X/2 has filled already. So remaining x/2 in 2/3. X = 4/3 45 minutes. So, totally 3 hrs 45 mts.

Kushagr said: (Dec 5, 2016)

Considering the LCM of the all the four taps ie 6. Now considering the capacity of tank be 6 units. For the 1st half, As only 1 tap is working so it fills 6/6 units/hr = 1 unit /hr (part filled by tap 1/total capacity of the tank). As only 1 tap is working for the 1st half I.e. For 3 units of tank (total capacity of tank/2). Calculations: 1 unit filled in 1 hr. 3 units filled in 3 hrs. In second half 4 taps of same type are used, therefore it fills 4/6*6 = 4 units/hr (part filled by 4 taps/total capacity of the tank). Now left out 3 units are filled by the combination of 4 taps. Calculation: 4 units filled in 1 hr. 3 units filled in 3/4 hrs = 45 mins. Therefore total time taken = time taken by 1st tap + time taken by combination of 4 similar taps.

= 3 hrs + 3/4 hrs = 3 hrs 45 mins.

Reshma Rgukt Basar said: (Mar 17, 2017)
Here, given problem is that, First half of the tank is filled in 3hrs by using only 1 tap. After that 3 more pipes are opened so, now total working pipes 4(they are similar means takes the same time to fill the tank). The remaining we have 6 - 3 = 3hrs. 3hrs means = 3 * 60 = 180min So, equally this time shared by 4 pipes 180/4 = 45 min. So total time is 3hrs 45 min.

Sajan said: (Apr 4, 2017)

I think logic behind 2/3 :3::1:x is; X is the time taken by 4 tap to fill remaining 1/2 in hours. AND, 2/3 part of tank is filled in 1 hour. So, (2/3)/(1/2) = 1hr/xhr Which can b also written as 2/3 : 3 :: 1. To verify put 45 in place of X and check if the ratio r equal or not(deal in minutes what I mean is that conversation 1hr into 60 minute.

So, 1/x becomes 60/45 that is 4/3. And also, 2/3 : 1/2 is 4/3.

Suvit said: (Jun 20, 2017)

The first tank will take 3hrs to fill in half of the tank. 4 tanks will take 6/4=1.5hrs to fill the full tank.

but as half of the tank is already filled, it will take 0.75hr=45mins for the rest half tank.

Sandy said: (Jul 15, 2017)
It will take less than 24 hours. How?

Jay said: (Aug 26, 2017)
It should be: 2/3 : 1 :: 1/2 : x.

Dinusha said: (Feb 28, 2018)
Thanks @Krishna.

Kajal said: (Jun 20, 2018)
Simple and nice explanation @Vicky.

Debapriya Paul said: (Jul 20, 2018)
1/6 part filled by one tap in 1 hr. 1/2 part filled by one tap in 3hrs. Part filled by 4 taps in 1hr is 4 * (1/6)=2/3. 2/3 part filled by 4 taps in 1 hr. 1/2 part filled by 4 taps in 3/4 hr. So , total time = 3hr + (3/4)hr. =3 hr 45 mins(answer).

Sarita said: (Aug 7, 2018)
Hi everyone. One of the easiest way Whole tank is filled in 6hour. Half tank will be filled in 3hour. But now half tank is remaining and there are a total of 4taps. So convert 3hour to minutes =180minute. Now just divide, 180/4 =45 minutes. So total will be 3hour 45 minutes.

Soumen said: (Sep 20, 2018)
a, b, c, d = 6 hrs. a=6 * 1/2 = 3 hrs. then 3 hrs.= 180 minutes. 180/4 = 45 minutes. 3 hrs. 45 minutes.

Mallikarjun Reddy said: (Oct 22, 2018)
The tap can fill half the tank in 3 hours i.e, in 180 min, Then 4 taps can fill half the tank in 180/4 = 45 min, Total: 3 hours 45 min.

Shreya said: (Jun 14, 2019)
A tap can fill a tank in 6 hours. So, 1/2 of the tank is filled in 3 hours. Now part of the tank filled by 4 same types of taps in 1 hour is (4 x 1/6) = 2/3, This means 2/3 part is filled by 4 taps in 1 hr, So 1 part is filled in 3/2 hr, So 1/2 part is filled in 3/2 x 1/2 = 3/4 hr = 45 min. Hence total time taken is 3 hr 45 min.

Sankar said: (Aug 24, 2019)
One tap can fill the whole cistern in = 6 hr, And half(1/2)tank can fill in = 3 hr. Remaining (1/2)tank will filled with the 4 pipes(1+3) = 3hr = 180min, 4 pipes = 180/4 = 45min. So the final answer is (1half+2nd half) = 3hr + 45min, 3hr and 45min.

Elakkiya said: (Oct 2, 2019)
Thanks @vicky.

Pramod said: (Nov 16, 2019)
Simple (3hour/1pipe)+(3hour/4pipe). (First hf tank)+(sec half tank) = 3(3/4) = in hours then = 3(3*60)/4 = 3hr 45min.

Faysal said: (Nov 25, 2019)
Quick one: 1 pipe fills half of the tank=6/=3 hrs. Remaining half, 1 pipe takes 3 hr. 4 '' '' =3/4 hr= 45 mins. Total = 3hrs+45mins(Answer)

Gunjan said: (Feb 21, 2020)
Thanks @Faysal.

Aadarsh Kumar said: (May 3, 2020)
As we know, rate * time =capacity. So, after half filled. A3=4A t t=3/4 hour. So total time taken is the time taken by A to fill half i.e 3 hr + 3/4 hr = 3 hr 45 minutes. Thanks.

Anomie said: (May 7, 2020)
Tank filled in 1hr =6units. For half an hour =3units. Remaining 3units. Now 3 more taps.....+previous 1 tap =4taps. Efficiency =3/4. Total =3*3/4(60)=3hr 45min.

M Ganesh said: (Jun 30, 2020)
Here we are assuming rate =100 As per the statement, A R=100 h=? Capacity =300 =300/100=3. A+B+C+D =300/400=0.75=45min => 3hr +45 min = 3hr 45.

Sriramamurthi said: (Jul 1, 2020)
Guys, it is very easy. A tap can fill a tank by 6 hrs. Then one tap is closed after 6 hrs which means 6/2=3 hrs. Then 3 more taps are opened so now totally there are 4 taps are opened. We are having remaining time will be 6-3 =3 hrs. So find 3/4 you get 0. 75 hrs which means 45 mins. So the Answer will be 3hrs 45 mins. Hope it will help you.

Gopi said: (Jul 24, 2020)
@ Sravanthi : only one tap fill the half tank. So, the remaining four should fill the remaining half tank. Hence. 1 - 1/2 = 1/2. It's should not be 1-2/3.

GAGAn said: (Sep 11, 2020)
It is assumed that all the taps are equally efficient, so we have divided 3 hrs, i.e 180 min into 4 equal part, that how 45 min came.

Teja said: (Aug 30, 2021)
Time taken by 1tap to fill the tank is 6hrs, then half is 3hrs (work done by 1 tap). So, 3 * (1/6) + x * (4/6) = 1, x = 3/4.

Evans Twineamatsiko said: (Apr 28, 2022)
Good explanation, Thanks. @Vicky!

Tushar Pawar said: (Oct 12, 2022)
They asked total time, so half tank is filled in 3 hour and later it takes 45 min as we calculated. Therefore 3 hour and 45 min.