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?

• A. 35 m
• B. 27 m
• C. 21 m
• D. 18 m

Answer 1

The correct option is C 21 m

$\text{In the first case, Chris ran 252 - 32 = 220 m}$
$\text{and Andy ran 252 - 12 = 240 m in the}$ $\text{same time.}$

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, $\frac{x}{252}=\frac{11}{12}$

$x=84\times \frac{11}{4}=21\times 11=231$
Andy and Chris reach together, if Chris covers 231 m.

Lead to be given $=252-231=21m$