Landa drove 150 miles on her vacation. She drove an average of 1.5 times faster on the second 75 miles of her trip than she did on the first 75 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.

a. 125/x
b. 187.6/x
c. 125x
d. 187.5x

1 answer

Let's say Landa's speed on the first 75 miles of her trip is x. Then her speed on the second 75 miles of her trip would be 1.5x.

The time spent driving on the first 75 miles would be 75/x and the time spent driving on the second 75 miles would be 75/(1.5x) = 50/x.

So the total time she spent driving would be 75/x + 50/x = 125/x.

Therefore, the correct expression that represents the time she spent driving is: a. 125/x.