CAT 2001 — QA Question 35
Linear RaceEasy
Passage / Data
Three runners A, B and C run a race, with runner A finishing 12 metres ahead of runner B and 18 metres ahead of runner C, while runner B finishes 8 metres ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?
Answer & solution
- A
36 metres
48 metres
- C
60 metres
- D
72 metres
Solution
Let the length of track is d metres.
Solving we get, d = 48 m
Hence, option (b).
Alternatively,
When A finished, the gap between B and C was 6 m. After B ran another 12 m, the gap is increased by another 2 m.
∴ A gap of 2 m is created when B runs 12 m.
∴ A gap of 8 m is created when B runs = 12 × 4 = 48 m