A doctor has 150 miles to travel before reaching the hospital. He decides to take the interstate instead of the two-lane highway so he can increase his speed from 50 miles per hour to 75 miles per hour. Write a statement that describes how this change will affect the doctor's arrival time.

Question

Mathematics

Kimberly Cox

10 September, 20:15

A doctor has 150 miles to travel before reaching the hospital. He decides to take the interstate instead of the two-lane highway so he can increase his speed from 50 miles per hour to 75 miles per hour. Write a statement that describes how this change will affect the doctor's arrival time.

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Answers (1)

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Short · Answer 1

Given that distance equals the amount of the rate multiplied by the time, increasing the rate will decrease the amount of time it will take the doctor to reach the hospital by two-thirds since the ration of 50:75 is 2:3.

Step-by-step explanation:

The general formula for distance is:

Distance = rate x time

Given the two scenarios:

150 = 50t and 150 = 75t

t = 3 hours t = 2 hours

So, it is faster by 2/3 or 1 hour for the doctor to take the interstate.