Katalin drove 180 miles on her vacation. She drove an average of 1.5 times faster on the second 90 miles of her trip than she did on the first 90 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.

Question

(1 point)
150 X
300
X
150x
225 X

Answer 1

Let x = her speed on the first half of the trip.

For the first 90 miles, the time she spent driving can be represented as: Time = Distance/Speed = 90/x

For the second 90 miles, her speed was 1.5 times faster, so her speed would be 1.5x. The time spent driving for the second 90 miles would be: Time = Distance/Speed = 90/1.5x = 60/x

Therefore, the total time she spent driving would be the sum of the times for the first and second 90 miles: 90/x + 60/x

Combining like terms, we get: 150/x

Therefore, the expression that represents the time Katalin spent driving is 150/x.