Problem

Suppose there are three pipes filling a tank. The first pipe can fill the tank in 5 hours. The second pipe can fill the tank in 8 hours. The third pipe can fill the tank in 7 hours. Suppose the pipes run for $5 \times 8 \times 7=280$ hours. How many tanks can the first pipe fill? How many tanks can the second pipe fill? How many tanks can the third pipe fill?

Solution

Step 1 :Suppose there are three pipes filling a tank. The first pipe can fill the tank in 5 hours. The second pipe can fill the tank in 8 hours. The third pipe can fill the tank in 7 hours.

Step 2 :Suppose the pipes run for \(5 \times 8 \times 7=280\) hours.

Step 3 :We are asked how many tanks the first pipe can fill. Since the first pipe can fill the tank in 5 hours, and the pipes run for 280 hours, we can calculate this by dividing the total hours by the hours needed for the first pipe.

Step 4 :\(\frac{280}{5} = 56\)

Step 5 :Final Answer: The first pipe can fill \(\boxed{56}\) tanks.

From Solvely APP
Source: https://solvelyapp.com/problems/4OLxKGvkBh/

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