Suppose in Exercise 85 that the first pump is three times as fast as the third pump. the first and second pumps can empty the pool in 6 hours, and all three pumps can empty the pool in 8 hours. 

(a) Are these data realistic? Explain your reasoning. 

(b) Make a conjecture about a solution to these data. 

(c) Test your conjecture by solving the problem.

Data from Exercise 85

Three pumps are being used to empty a small swimming pool. The first pump is twice as fast as the second pump. The first two pumps can empty the pool in 8 hours, while all three pumps can empty it in 6 hours. How long would it take each pump to empty the pool individually?