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Mr Samson goes to market at the speed of 10 km/hr and returns to his home at the speed of 15 km/hr. If he takes 3 hours in all, what is the distance between his home and market

Question

Mr Samson goes to market at the speed of 10 km/hr and returns to his home at the speed of 15 km/hr. If he takes 3 hours in all, what is the distance between his home and market

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Solution

Let's denote the distance between Mr. Samson's home and the market as D (in km).

Step 1: Calculate the time taken to go to the market We know that time = distance/speed. So, the time taken to go to the market is D/10 hours.

Step 2: Calculate the time taken to return home Similarly, the time taken to return home is D/15 hours.

Step 3: Set up the equation According to the problem, the total time taken for the trip is 3 hours. So, we can set up the following equation:

D/10 + D/15 = 3

Step 4: Solve the equation To solve the equation, we first find a common denominator for the fractions, which is 30 in this case. So, the equation becomes:

3D/30 + 2D/30 = 3 5D/30 = 3 D = 3 * 30 / 5 D = 18 km

So, the distance between Mr. Samson's home and the market is 18 km.

This problem has been solved

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