Question 492720
Distance they meet from one car = x

other car travels 100-x miles when they meet.

distance/time = speed
1 h 40 mins = 1 2/3 hours = 5/3 hours


x/(5/3) -(100-x)/(5/3)= 5

3x/5 - 3(100-x)/5 =5
(3x-300+3x)/5 = 5

6x-300=25
6x= 325
x=54.16

one car travels 54.16 miles in 5/3 hours
so in 1 hour it travels 54.16/(5/3)
= 32.5 mph
second car travels 100-54.16 = 45.84 mile
speed = 45.84/(5/3)= 27.5 mph

cheers