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

Answer 1

To determine how long it will take for car A to overtake car B, we need to find the time it takes for the distance between them to decrease to zero.

Let's assume that car A overtakes car B after time t.

In t hours, the distance traveled by car A is given by 90t km.

In t hours, the distance traveled by car B is given by 45t km.

Since car A is behind car B, the initial distance between them is the initial position of car B minus the initial position of car A.

Given the same initial position, this initial distance is 0 km.

So, 45t - 90t = 0.

Simplifying the equation above, we get:

-45t = 0

t = 0

Therefore, it will take 0 hours for car A to overtake car B.

To convert this time to minutes, we multiply 0 hours by 60 minutes per hour.

So, it will take 0 minutes for car A to overtake car B.