traveling Car 40 mph can be caught by care traveling what speed at 3/10 mile

Question

a car traveling 40 mph has 2/10 mile head start from standing vehicle, how fast does the standing vehicle need to travel in order to catch first car at 5/10 mile?

Answer 1

Hi Chris,

 

First you have to find out how much time it would take for the car travelling at 40 mph to reach from 2/10 mile to 5/10 mile, i.e. 3/10 mile.

 

If the car is travelling at 40 miles per hour, this should be 3/400 hours.

 

Now, the standing car has to cover a distance of 5/10 mile in this 3/400 hours.

Assume the new car, needs to go at "v" miles per hour.

 

So, in 3/400 hours, it will travel = 3v/400 miles.

 

We now have, 3v/400 = 5/10,

or, v = 200/3 = 66.67 miles per hour.

 

Hope this helps.

 

Thanks,

 

Swaraj