Two cars, A and B are traveling at speeds 90km/h and 45km/h respectively. If A is 15 km behind B. Assuming they maintain the same speeds, how long will it take (in minutes) for A to overtake B?

Answer 1

Let's assume that it takes time "t" hours for car A to overtake car B.

The distance traveled by car A in time "t" hours is: 90t
The distance traveled by car B in time "t" hours is: 45t

As given, A is 15 km behind B, so we can set up the equation:

90t = 45t + 15

Simplifying the equation, we get:
45t = 15

Dividing by 45 on both sides of the equation:
t = 15/45
t = 1/3 hours

Converting hours to minutes:
In 1 hour, there are 60 minutes.
So, in 1/3 hour, there are (1/3) * 60 = 20 minutes.

Therefore, it will take 20 minutes for car A to overtake car B.