math question need answer

Question

suppose that during a test drive of two​ cars, one car travels

132

miles in the same time that a second car travels

90

miles. If the speed of the first car is

14

miles per hour faster than the speed of the second​ car, find the speed of both cars.

Answer 1

F = 14 +S where F and S are speeds of the First and Second cars

132=Ft where t is the same time traveled for both cars

distance = speed times time

90=St

132=(14+S)t

132/90 = (14+S)t/St = (14+S)/S=22/15

22S = 15(14+S)

22S -15S = 15(14)

7S = 210

S = 210/7 =30 mph= Second car's speed

F= 44 mph= First car's speed

t = time = 90/30 = 3 hours

44x3= 132

30x3=90