Question

a man covered a certain distance at a certain speed. had he moved 3 km/h faster, he would have taken 40 minutes less. if he had moved 2 km/h slower, he would have taken 40 minutes more. the distance covered by him is:

Answer 1

To solve this problem, create a system of equations based on the given information and solve them simultaneously.

Step-by-step explanation:

To solve this problem, let's create a system of equations. Let's assume that the distance covered by the man is represented by 'd' and his speed is represented by 's'.

According to the problem, if the man had moved 3 km/h faster, he would have taken 40 minutes less. This can be represented as:

d/s = d/(s+3) + 40/60

Simplifying this equation, we get:

3d = 2s^2 + 6s

Similarly, if the man had moved 2 km/h slower, he would have taken 40 minutes more. This can be represented as:

d/s = d/(s-2) - 40/60

Simplifying this equation, we get:

d = (s^2 - 2s)/3

Now we can solve these two equations simultaneously to find the values of 'd' and 's'.