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A runs 5 times faster than B. If A gives B a start of 100 m, how far must the goal be so that A and B reach there at the same time.

Solution

✅ Correct Option: 3

Let B's speed be v, so A's speed is 5v. For same finishing time: D/(5v)=(D−100)/vD/(5v) = (D - 100)/v, i.e. D=5(D−100)=5D−500D = 5(D - 100) = 5D - 500. So 4D=5004D = 500, giving D=125D = 125 m.

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