A pipe can fill a tank in 42 minutes. Because of the leak in the tank, it took 14 minutes more to fill the tank. What is the ratio between the time required for the pipe to fill the tank and time required for the leak to empty the tank?
1). 1 : 2
2). 1 : 3
3). 3 : 2
4). 2 : 3
Given,
A pipe can fill the tank in 42 minutes,
∴ In a minute part of a tank gets filled is = 1/42
Total time required to fill the tank due to leak is = (42 + 14) = 56 minutes
∴ In a minute part of a tank filled due to leak = 1/56
In a minute part of a tank emptied due to leak is
⇒ (1/42) - (1/56) = 1/168
∴ Time required to emptied the tank is 168 minutes.
Required ratio = 42 : 168 = 1 : 4
∴ The ratio between the time required for pipe to fill the tank and time required for leak to empty the tank is 1 : 4