A car can travel 350 miles in the same time that it takes a bus to travel 150 miles. If the rate of the bus is 40 miles per hour slower than the​ car, find the average rate for each.

Answer 1

150/b = 350/c = the same time traveled for bus and car, d=rt, t =d/r

b=c-40. b=bus speed, c = car speed

150/(c-40) = 350/c

cross multiply

150c = 350c - 14000

200c = 14000

c= 14000/200 = 70 mph = car speed

b = 30 mph = bus speed

the bus went 150 miles at 30 mph, taking 150/30 = 5 hours

the car went 350 miles at 70 mph, taking 350/70 = 5 hours