Question

Gilda drove 650 miles at an average speed of 50 miles per hour. How many miles per hour faster would she have had to drive in order for the trip to have taken 1 hour less? Express your answer as a common fraction.

Answer 1

325/78 = 4 13/78 miles per hour

Explanation:

Total distance for Gilda to travel = 650 miles

Speed used for the journey= 50 miles per hour

Time taken = distance/speed

Time taken = 650/50

Time taken = 13 hours

Then how many miles per hour in essence what will be her speed in other for the journey to last less than one hour of her journey , that is 13 -1 = 12 hours

Speed = distance/time

Speed= 650/12

Speed= 54.1667 miles per hour

She would have gone

=650/12 -650/13

=(8450-7800)/156

=650/156

= 325/78

= 4 13/78