A car can travel 250 miles in the same time that it takes a bus to travel 100 miles. If the rate of the bus is 30 miles per hour slower than the car, find the average rate for each

Question

A car can travel 250 miles in the same time that it takes a bus to travel 100 miles. If the rate of the bus is 30 miles per hour slower than the car, find the average rate for each

Answer 1

Let SC = Speed of the car

Let SB = Speed of the bus = SC - 30

Time is the same for each

SC x Time = 250 kiles Divide the two equations and the time cancels So

SB x Time = 100 miles

SC/(SC-30) = 250/100 Solving for SC we get 50 mph, which means that SB = SC - 30 = 20 mph