I have to reach a certain place at a certain time and I find that I shall be 15 min too late, if I walk at 4 km an hour, and 10 min too soon, if I walk at 6 km an hour, How far have I to walk?a)25 kmb)5 kmc)10 kmd)7 kme)None of theseCorrect answer is option 'B'. Can you explain this answer?

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Given information:
- Walking at 4 km/hr, the person will be 15 minutes late.
- Walking at 6 km/hr, the person will be 10 minutes early.

To solve this problem, we can use the formula:

time = distance / speed

where time is the time taken to cover a certain distance, distance is the distance to be covered, and speed is the speed at which the person is walking.

Let's assume that the distance to be covered is x km.

Walking at 4 km/hr, the time taken to cover the distance will be:

time = distance / speed
time = x / 4

But we know that the person will be 15 minutes late, which is equivalent to 0.25 hours.

So, the actual time taken to cover the distance at 4 km/hr will be:

actual time = time + 0.25
actual time = x / 4 + 0.25

Similarly, walking at 6 km/hr, the time taken to cover the distance will be:

time = distance / speed
time = x / 6

But we know that the person will be 10 minutes early, which is equivalent to -0.1667 hours (since the person is reaching before time).

So, the actual time taken to cover the distance at 6 km/hr will be:

actual time = time - 0.1667
actual time = x / 6 - 0.1667

Now, we can set up an equation using the above two expressions for actual time:

x/4 + 0.25 = x/6 - 0.1667

Simplifying this equation, we get:

x = 5 km

Therefore, the person has to walk 5 km to reach the destination on time. Hence, the correct answer is option (B).

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