A water tank has three taps A, B, and C. A fills four buckets in 24 mins, 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 litres of water, what is the capacity of the tank?
60 litres
120 litres
180 litres
240 litres
Answers
Answer:
♠ The correct option is D.
Step-by-step explanation:
Since a bucket holds 5 litres of water, Tap A discharges 20 litres of water in 24 minutes or 5/6 litres of water in 1 minute.
Tap B discharges 40 litres in 1 hours or 2/3 litres in 1 minute.
Tap C discharges 10 litres in 20 minutes or 1/2 litres in 1 minute.
If A, B & C are all opened simultaneously, total discharge = (5/6 + 2/3 + 1/2) = 2 litres in 1 minute.
So in 2 hours after all taps are opened, the discharge would be 240 litres, which should be the capacity of the tank.
Answer:
240 l
Step-by-step explanation:
Tap A fills 20 litres water in 24 mins, Tap B fills 40 litres water in 60 mins, Tap C fills 10 litres in 20 mins.
All the taps are opened together a full tank is emptied in 2 hours = 120 mins.
Hence, work done by all the taps together in 2 hours,
=> (20/24 * 120 + 40/60 * 120 + 10/20 * 120)
=> 100 + 80 + 60
=> 240 litres.
Hence, capacity of tank = 240 litres.
#Hope my answer helped you!