[32.7 m] X, Y and Z are the three contestants in one km race. If X can give Y a start of 52 metres and X can

For Competitive Exams

X, Y and Z are the three contestants in one km race. If X can give Y a start of 52 metres and X can also give Z a start of 83 metres, how many metres start Y can give Z?

33.3 m

33 m

32 m

32.7 m

Explanation:

While X runs 1000 metre, Y runs $\left(1000-52\right)$=948 metre and Z runs $\left(1000-83\right)$=917 metre

i.e., when Y runs 948 metre, Z runs 917 metre

$\text{=> When Y runs 1000 metre, Z runs }\dfrac{917}{948} \times 1000\text{ = 967.30 metre}$

i.e., Y can give Z $\left(1000-967.30\right)$ = 32.7 metre

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