Latest Elitmus Aptitude Question SOLUTION: A and B can fill a cistern in 15/2 min and 5 min and C can carry of 14 litres per minute. If all pipes are open when it is full , it is emptied in 1 hours. How many litres can it h

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(#M40033043) ELITMUS Numerical Ability question Pipes and cistern Keep an EYE

A and B can fill a cistern in 15/2 min and 5 min and C can carry of 14 litres per minute. If all pipes are open when it is full , it is emptied in 1 hours. How many litres can it hold?

Asked In Elitmus (10 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Hrishabh Sobti  (9 years ago)

Let tank hold v litres
=> rate of A : v/(15/2) = 2v/15
=> rate of B : v/15
and rate of C: 14

since the tank is emptied in one hour, total time : 1hr
=> water carried by C : 60*14 = 840

and since
full tank + water supplied by A + water supplies by B = water drained by C

we have
v + 60*(2v/15) + 60*(v/5) = 840
=> 21v = 840

Therefore, v = 40 Litres

Is this solution Helpfull? Yes (33) | No   

Mayuresh Roy  (10 years ago)

40 ltrs.
tank holds x ltrs
emptied in 1min
14- 2x/15 + x/5 = (42-x)/3 ltrs
now acc to qstn (42-x)/3 *60 =x
so, x=40

Is this solution Helpfull? Yes (19) | No (3)  

maynk  (10 years ago)

(y/1.5)=60////7.5+5-14=1.5
y=90 litre

Is this solution Helpfull? Yes (3) | No (2)  

Arvind Yadav  (9 years ago)

120 ltrs
tank holds x ltrs
in 1 h it becomes empty so
x+(2x/15+x/5)*60-14*60=0
x+20x-14*60=0
x=40

Is this solution Helpfull? Yes (3) | No (1)  

abhishek  (10 years ago)

C's 1 min work =1/12
c will take total 12 min .
now, 1 min =14 litres .
12 min =168 litres.

Is this solution Helpfull? Yes | No (8)  

mini atreya  (7 years ago)

7.5+5 / 7.5*5
125/75*5 = 1/3 *60 = 20
20+1 = 21
14*60/21 = 40

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