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Select the correct answerB starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A’s speed is a mile in 6 minutes then B’s speed is a mile in _minutes?Options₹ 10₹ 8₹ 12₹ 9

Question

Select the correct answerB starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A’s speed is a mile in 6 minutes then B’s speed is a mile in _minutes?Options₹ 10₹ 8₹ 12₹ 9

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Solution

The problem can be solved in the following steps:

  1. First, calculate the time it takes for A to reach the destination. Since A's speed is a mile in 6 minutes, it will take A 6 * 3.5 = 21 minutes to reach the destination.

  2. Then, calculate the time it takes for A to walk a mile back. Since A's speed is a mile in 6 minutes, it will take A another 6 minutes to walk a mile back.

  3. So, the total time from when A starts to when A meets B is 21 + 6 = 27 minutes.

  4. However, B starts 4.5 minutes after A. So, the time from when B starts to when B meets A is 27 - 4.5 = 22.5 minutes.

  5. When A meets B, B has walked 3.5 - 1 = 2.5 miles.

  6. Therefore, B's speed is 2.5 miles in 22.5 minutes, which simplifies to a mile in 22.5 / 2.5 = 9 minutes.

So, the correct answer is ₹ 9.

This problem has been solved

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