Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?

Let's solve this step by step:

1. First, let's convert the time of 1 hour 24 minutes into hours. 24 minutes is 0.4 hours, so the total time is 1.4 hours.

2. Let's denote the total distance as D. According to the problem, Sachin covers 2/3 of the distance at 4 kmph and the rest at 5 kmph.

3. We can set up the equation based on the time it takes for each part of the trip. The time it takes to cover 2/3 of the distance at 4 kmph is (2/3)D/4 and the time it takes to cover the rest of the distance at 5 kmph is (1/3)D/5.

4. The sum of these two times is equal to the total time of 1.4 hours. So we have the equation: (2/3)D/4 + (1/3)D/5 = 1.4.

5. Solving this equation for D, we get D = 6 km.

So, the total distance Sachin can cover is 6 km.