Arithmetic

Time, Speed & Distance

Easy

applied

Mr. X runs 5 times as fast as Mr. Y. If Mr. X gives Mr. Y a start of 80 meters, how far must the goal on the race course be so that Mr. X and Mr. Y reach it at the same time?

80 m

400 m

100 m

16 m

✅ Correct Option: 3

Let the goal be at distance $d$ and Y's speed be $v$ , so X's speed is $5v$ .

X covers $d$ while Y covers $d-80$ in the same time: $\dfrac{d}{5v} = \dfrac{d-80}{v}$ .

So $d = 5d - 400$ , giving $4d = 400$ and $d = 100$ m.

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Mr. X runs 5 times as fast as Mr. Y. If Mr. X gives Mr. Y a start of 80 meters, how far must the goal on the race course be so that Mr. X and Mr. Y reach it at the same time?

Solution

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