A car can travel 450 miles in the same time that it takes a bus to travel 180 miles. If the rate of the bus is 30 miles per hour slower than the​ car, find the average rate for each.

Answer 1

t = distance/speed

t = d/s = 180/b = 450/c

180/(c-30) = 450/c

cross multiply

450c -13500 = 180c

450c- 180c = 13500

270c = 13500

c = 13500/270 = 1350/27 = 50 mph

b = 20 mph

in 9 hours the car goes 450 miles

in 9 hours the bus goes 180 miles

9x50 =450

9x20 = 180