Question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour?

Answer 1

Speed of motorcycle is 40 mph and speed of car is 50 mph

Step-by-step explanation:

Let the peed f the motorcycle is v m /sec

According to question speed of motorcycle = 2v-30 mph

Now it is given that in two hours car is 20 miles ahead from motorcycle

Distance traveled by motorcycle in 2 hour = 2v

And distance traveled by car in two hour = 2×(2v-30)

Now according to question

`2(2v-30)=2v+20`

4v-60 = 2v+20

2v = 80

v = 40 mph

So speed of motorcycle is 40 mph

And speed of car = 2v-30 = 2×40-30 = 50 mph