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Select the correct answerA boy went to his school at a speed of 12km/hr and returned to his house at a speed of 8km/hr. If he has taken 50 minutes for the whole journey, what was the total distance walked?Options4 km16 km20 km8 km

Question

Select the correct answerA boy went to his school at a speed of 12km/hr and returned to his house at a speed of 8km/hr. If he has taken 50 minutes for the whole journey, what was the total distance walked?Options4 km16 km20 km8 km

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Solution

To solve this problem, we first need to convert the time from minutes to hours since the speed is given in km/hr. So, 50 minutes is approximately 0.83 hours.

Let's denote the distance from the house to the school as 'd'. The total distance of the journey is 2d (to the school and back).

The total time taken is the sum of the time taken to go to school and the time taken to return. The time taken to travel a certain distance is given by the formula: time = distance/speed.

So, the time taken to go to school is d/12 and the time taken to return is d/8.

Therefore, d/12 + d/8 = 0.83.

To solve for d, we first need to find a common denominator for 12 and 8, which is 24. So, the equation becomes 2d/24 + 3d/24 = 0.83.

This simplifies to 5d/24 = 0.83.

Solving for d gives us d = 0.83 * 24 / 5 = 3.984 km.

Since the total distance of the journey is 2d, we multiply 3.984 km by 2 to get approximately 8 km.

So, the correct answer is 8 km.

This problem has been solved

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