6 pipes are required to fill a tank in 1 hour. How long will it take if only 5 pipes of the same type are used?
Answers
Answer:
5/6 or 0.83hr
Step-by-step explanation:
6 pipes in 1 hour
using unitary method,
1 pipe in 1/6hr
so, 5 pipes in = (1*5)/6 = 5/6hr
Given:
6 pipes are required to fill a tank in 1 hour.
To Find:
How long will it take to fill the tank with 5 pipes?
Solution:
1. A tank can be filled in 1 hour using 6 pipes
=> If 6 pipes can fill the tank in 1 hour,
=> The time taken by 1 pipe to fill the tank is 1 x 6 hours,
=> The time that is taken by 1 pipe to fill the tank = 6 hours,
=> 1 pipe can fill the tank in 6 hours.
2. The time taken by 5 pipes to fill the tank can be calculated as follows,
=> If 1 pipe can fill the tank in 6 hours,
=> 5 pipes can fill the tank in 6/5 hours,
=> 5 pipes can fill the tank in 1.2 hours,
=> Total time taken by 5 pipes to fill the tank = 1.2 hours = 1.2 x 60 minutes = 72 minutes.
Therefore, the total time taken by 5 pipes to fill the tank is 1.2 hours (OR) 72 minutes.