Question

There are three taps. Tap A fills 4 containers in 2/5 hours. Tap B fills eight containers in 1 hour. Tap C fills 2 containers in 1/3 hours. If all the taps are opened together, then a particular tank is filled in 2 hours. Can you tell us the capacity of that particular tank, if a container contains 5 litres of water.

Answer 1

The capacity of the tank is 240 liters. This is calculated by finding the filling rate of each tap, determining their combined rate per hour, and then multiplying it by the total filling time.

Step-by-step explanation:

First, we need to find the rate at which each tap fills containers, then convert that into liters per hour. For Tap A, if it fills 4 containers in 2/5 hours, it fills 10 containers in 1 hour (since 4 containers × (5/2) = 10 containers). Each container is 5 liters, so Tap A fills 50 liters per hour. Tap B fills 8 containers in 1 hour, which equates to 40 liters per hour. Tap C fills 2 containers in 1/3 hour or 6 containers in 1 hour, so it fills 30 liters per hour.

When all taps are opened together, they fill at a combined rate of 50 + 40 + 30 = 120 liters per hour. Since the tank is filled in 2 hours, the capacity of the tank is 120 liters/hour × 2 hours = 240 liters.