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₹ 8₹ 12₹ 9₹ 10
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₹ 8₹ 12₹ 9₹ 10
Solution
The problem can be solved in the following steps:
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First, we need to calculate the time it takes for A to reach the destination. Since A's speed is a mile in 6 minutes, and the distance to the destination is 3.5 miles, it would take A 3.5 miles * 6 minutes/mile = 21 minutes to reach the destination.
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A then turns back and walks a mile before meeting B. This would take an additional 6 minutes (since A's speed is a mile in 6 minutes), so the total time from when A started to when A meets B is 21 minutes + 6 minutes = 27 minutes.
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However, B started 4.5 minutes after A, so the time from when B started to when A meets B is 27 minutes - 4.5 minutes = 22.5 minutes.
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In this time, B has traveled the distance to the meeting point, which is 3.5 miles - 1 mile = 2.5 miles.
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Therefore, B's speed is 2.5 miles / 22.5 minutes = 1 mile in 9 minutes.
So, the correct answer is ₹ 9.
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