Question

Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he's running 5 minutes late.How fast will he need to drive on the freeway to make up the 5 minutes?Express your answer in miles per hour. v′=___mph

Answer 1

Evan will need to drive at a speed of 50 mph on the freeway to make up the 5 minutes.

Step-by-step explanation:

To determine the speed Evan will need to drive on the freeway to make up the 5 minutes, we can use the formula: time = distance / speed. We know that the distance is 25 miles and the time taken is 25 minutes + 5 minutes (due to being late). Let's represent the required speed as v'.

So, rearranging the formula, we get: v' = distance / time. Substituting the given values, we have v' = 25 miles / (25 minutes + 5 minutes).

Converting the time to hours by dividing by 60, we get v' = 25 miles / (30/60) hours. Simplifying, we have v' = 50 mph.