3. a postal carrier can deliver to 130 houses in a 2.5-hour period. at this rate, how many hours will it…

3. a postal carrier can deliver to 130 houses in a 2.5-hour period. at this rate, how many hours will it take to deliver to 312 houses?

3. a postal carrier can deliver to 130 houses in a 2.5-hour period. at this rate, how many hours will it take to deliver to 312 houses?

Answer

Explanation:

Step1: Find the rate per hour

The postal carrier delivers to 130 houses in 2.5 hours. So the rate (houses per hour) is $\frac{130}{2.5}$ houses per hour. Calculating that, $\frac{130}{2.5}=52$ houses per hour.

Step2: Calculate time for 312 houses

We know that time = number of houses / rate. So for 312 houses, time = $\frac{312}{52}$. Calculating that, $\frac{312}{52} = 6$ hours.

Answer:

6 hours