Q.

A water tank has three taps A, B and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 liters of water, what is the capacity of the tank? (Taps can be used inlet as well as outlet.)

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a

240 liters

b

140 liters

c

160 liters

d

110 liters

answer is B.

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Detailed Solution

Tap A empty in 1 hour =(4×5)24×60=50 litre
Tap B empty in 1 hour  =8×5=40 litre
Tap C empty in 1 hour =(2×5)20×60=30 litre
A, B and C together empty in 1 hour =50+40+30 =120 litre
Hence, capacity of tank =2×120=240 litre
 

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