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A person goes to office at 50 kmph and returns at 40 kmph. If the total time taken is 4 hrs and 30 minutes, what is the distance between his home and officeQuestion 3Answera.100kmb.120kmc.125kmd.80km

Question

A person goes to office at 50 kmph and returns at 40 kmph. If the total time taken is 4 hrs and 30 minutes, what is the distance between his home and officeQuestion 3Answera.100kmb.120kmc.125kmd.80km

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Solution

Let's solve this step by step:

  1. First, convert the total time into minutes. 4 hours and 30 minutes equals 270 minutes.

  2. The person travels at two different speeds, 50 kmph to the office and 40 kmph back home. So, the average speed for the entire journey can be calculated using the formula for average speed when speeds are different in two equal distances: 2xy/(x+y), where x and y are the two speeds. So, the average speed = 25040/(50+40) = 44.44 kmph.

  3. Now, we know that the total time = distance/average speed. So, the total distance travelled (to the office and back home) = average speed * total time = 44.44 kmph * 4.5 hours = 200 km.

  4. Since the total distance includes the journey to the office and back home, the distance between the home and office = total distance / 2 = 200 km / 2 = 100 km.

So, the answer is a. 100 km.

This problem has been solved

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