Latest CAT Aptitude Question SOLUTION: Two pipes a and b fill a tank in 15 hrs and 20 hrs respectively. while a third pipe c can empty the full tank in 25hrs. all the three pipes are opened in the beginning. after 10hrs

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(#M40034663) CAT Numerical Ability question pipes and cisterns Keep an EYE

Two pipes a and b fill a tank in 15 hrs and 20 hrs respectively. while a third pipe c can empty the full tank in 25hrs. all the three pipes are opened in the beginning. after 10hrs,c is closed. in how much time, will the tank be full?

Asked In CAT ramakrishna (10 years ago)

Solved Saraswathy Read Solution (3)

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Read Solution (3) :

Saraswathy  (10 years ago)

a's 1 hr work = 1/15
b's 1 hr work = 1/20
c's 1 hr work = 1/25

In 1 hr, d tank filled ll be
1/15 + 1/20 - 1/25 = 20+15-12/300 = 23/300

In 10 hrs , 10 * 23/300 = 23/30
Remaining part = 1 - 23/30 = 7/30

c is closed,,, a+b is opened...
a+b's 1 hr work = 1/15 + 1/20 = 35/300 = 7/60

a+b ll fill
1 hr -- 7/60
x ---- 7/30

x = 7/30 * 60/7 = 2hrs

The tank ll be filled in 10 + 2 = 12hrs

Ans : 12 hrs

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sravani  (9 years ago)

10(1/15 + 1/20 - 1/25(since it is emptying))=23/30
remaing is 1- 23/30= 7/30
let no.of hrs be x...
x(1/15 + 1/20)=7/30
7x/60=7/30
x=2hrs

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Akshay   (7 years ago)

SARASWATHY IS COORECT
12 HRS

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