Select the correct answerA man starts from his house and travelling at 30 km/h, he reaches his office late by 10 minutes, and travelling at 24 km/h, he reaches his office late by 18 minutes. The distance (in km) from his house to his office is?Options12181620

To solve this problem, we can use the concept of relative speed.

The difference in speed between the two scenarios is 6 km/h (30 km/h - 24 km/h). This difference in speed results in a difference in time of 8 minutes (18 minutes - 10 minutes).

We can convert this time difference to hours, as the speed is given in km/h. So, 8 minutes = 8/60 = 0.1333 hours.

Now, we can calculate the distance using the formula distance = speed * time.

So, the distance = 6 km/h * 0.1333 hours = 0.8 km.

However, this is the additional distance he travels when he increases his speed from 24 km/h to 30 km/h.

To find the total distance from his house to his office, we need to add this additional distance to the distance he travels at 24 km/h when he is 18 minutes late.

So, the total distance = distance travelled at 24 km/h + additional distance

We know that time = distance/speed. So, the time he takes to travel to his office at 24 km/h is distance = 24 km/h * (18 minutes late/60) = 7.2 km.

So, the total distance = 7.2 km + 0.8 km = 8 km.

Therefore, the correct answer is not in the options given. There seems to be a mistake in the problem or the options provided.