Question

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 litres of water what is the capacity of the tank?

विकल्प

• 120 liters

• 240 liters

• 180 liters

• 60 liters

Answer 1

240 liters

Explanation:
Tap A fills 4 buckets (4 x 5 = 20L) in 24 min.

In 1 hour tap, A fills = `20/24xx60` = 50L

In 1 hour tap B fills 8 x 5 = 40L

In 1 hour tap C fills = `(2xx5)/20xx60` = 30L

If they open together they would fill 50 + 40 + 30 = 120 liters in one hour but full tank is emptied in 2 hours
So, tank capacity would be 120 x 2 = 240L.