Question

A problem the time 1.required to empty a tank varies inversely as the rate pumping if a pump can empty a tank in 2.5 hours at a rate of 400 galloons per minute how long will it take to empty a tank at 500 gallons per minute? B.ILUSTRATION C.SOLUTION D.ANSWER

Answer 1

The time it will take to empty the tank at a rate of 500 gallons per minute is approximately 3.125 hours or 3 hours and 8 minutes.

Step-by-step explanation:

The problem states that the time required to empty a tank varies inversely as the pumping rate. This means that as the pumping rate increases, the time required to empty the tank decreases, and vice versa.

We are given that a pump can empty a tank in 2.5 hours at a rate of 400 gallons per minute. To find the time it will take to empty the tank at a rate of 500 gallons per minute, we can set up a proportion.

Using the formula for inverse variation, we have:

Time ∝ 1 / Rate

Setting up the proportion:

2.5 hours / 400 gallons per minute = x hours / 500 gallons per minute

Cross-multiplying and solving for x:

2.5 * 500 = 400 * x

1250 = 400x

x = 3.125 hours

Therefore, it will take approximately 3.125 hours or 3 hours and 8 minutes to empty the tank at a rate of 500 gallons per minute.