Mohan takes 2 hours more than Kishore to walk 63 km. If Mohan increases his speed by 50%, then he can make it in 1 hour less than Kishore. How much time does Kishore take to walk 63 km?

Sure, let's solve this step by step.

Let's denote the speed of Kishore as 'k' km/h and the speed of Mohan as 'm' km/h.

From the problem, we know that:

1. Mohan takes 2 hours more than Kishore to walk 63 km. This can be written as: 63/k = 63/m + 2

2. If Mohan increases his speed by 50%, then he can make it in 1 hour less than Kishore. This can be written as: 63/(1.5m) = 63/k - 1

Now we have two equations with two variables, which we can solve simultaneously.

First, let's express 'm' from the first equation: m = 63/(63/k - 2)

Then, substitute 'm' into the second equation: 63/(1.5*63/(63/k - 2)) = 63/k - 1

Solving this equation will give us the speed of Kishore 'k'. Once we have 'k', we can substitute it back into the first equation to find 'm', the speed of Mohan.

Finally, to find the time Kishore takes to walk 63 km, we use the formula time = distance/speed, so time = 63/k.