In a 100 metre race, A beats B by 10 metres and C by 13 metres. By how many metres will B beat C in a 180 metre race?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 6 metres
While A runs 100 m, B runs 90 m and C runs 87 m in the same time. So their speeds are in the ratio
B : C = 90 : 87 = 30 : 29
In the time B runs 180 m, C runs
\( \displaystyle 180\times\frac{29}{30} = 174 \text{ m} \)
So B beats C by 180 − 174 = 6 metres.