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Select the correct answerThe speed of B is 63.63% more than A. A and B walk 36 hr. & 55 hr. respectively. If A will move 48 km less than B. Find the total distance covered by both A and B?Options156 km112 km134 km182 km

Question

Select the correct answerThe speed of B is 63.63% more than A. A and B walk 36 hr. & 55 hr. respectively. If A will move 48 km less than B. Find the total distance covered by both A and B?Options156 km112 km134 km182 km

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Solution

Let's solve this step by step:

  1. Let's assume the speed of A is x km/hr. Then, the speed of B is 1.6363x km/hr (since it's 63.63% more than A).

  2. The distance covered by A in 36 hours is 36x km (since distance = speed * time).

  3. The distance covered by B in 55 hours is 55 * 1.6363x km.

  4. According to the problem, A moves 48 km less than B. So, we can set up the equation: 36x = 55 * 1.6363x - 48.

  5. Solving this equation for x gives us x ≈ 1.12 km/hr.

  6. Substituting x back into the distances gives us the total distance covered by A and B: 36 * 1.12 km + 55 * 1.12 * 1.6363 km ≈ 156 km.

So, the correct answer is 156 km.

This problem has been solved

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