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?

Answer

Expert–verified
Hide Steps
Answer

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

Steps

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.

link_gpt