A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. What is the time required for the first pipe to fill the tank?
Q1. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. What is the time required for the first pipe to fill the tank?
Answer: 15 hours
Explanation: Let's denote the time taken by the first, second, and third pipes as t1, t2, and t3, respectively. We have t2 = t1 - 5 and t2 = t3 + 4. Also, 1 / t1 + 1 / t2 = 1 / t3.