2 trains whose rates differ by 8mph leave stations that are 432 miles apart at 10 am. If the trains meet at 2pm, what is the rate of each train?
Faster train = x+8
Slower train = x
The trains approach each other at their combined speed x + x+8
and at this speed they cover the 432 miles in 4 hours (from 10 AM to 2 PM)
Rate * Time = distance
(x+ x+8) * 4 = 432
4x+4x+32 = 432
8x = 400
x = 50 mph = slower train
x+8 = 58 mph = faster train
Faster train = x+8
Slower train = x
The trains approach each other at their combined speed x + x+8
and at this speed they cover the 432 miles in 4 hours (from 10 AM to 2 PM)
Rate * Time = distance
(x+ x+8) * 4 = 432
4x+4x+32 = 432
8x = 400
x = 50 mph = slower train
x+8 = 58 mph = faster train