Question

Andy and Chris are running a race. Andy is faster than Chris, so he gave Chris a 32 m lead in a 252 m race. However, Andy lost by 12 m. What lead should Andy give so that they both finish together?

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Solution

The correct option is **C** 21 m

In the first case, Chris ran 252 - 32 = 220 m

and Andy ran 252 - 12 = 240 m in the same time.

So, their speeds are in the ratio 220:240=11:12

For them to finish together, Andy runs 252 m, and Chris runs, let's say, x m.

So, again, x252=1112

x=84×114=21×11=231

Andy and Chris reach together, if Chris covers 231 m.

Lead to be given =252−231=21 m

In the first case, Chris ran 252 - 32 = 220 m

and Andy ran 252 - 12 = 240 m in the same time.

So, their speeds are in the ratio 220:240=11:12

For them to finish together, Andy runs 252 m, and Chris runs, let's say, x m.

So, again, x252=1112

x=84×114=21×11=231

Andy and Chris reach together, if Chris covers 231 m.

Lead to be given =252−231=21 m

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