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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. The length of the race is
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- 36 metres
- 48 metres
- 60 metres
- 72 metres
- 36 metres
Correct Option: B
Let the length of the race be y km.
When A finishes the race,
∴ A : B : C = y : (y – 12) : (y – 18)
When B covers 12 km. , C covers 10 km.
| ∴ | = | = | |||
| y - 18 | 10 | 5 |
⇒ 6y – 108 = 5y – 60
⇒ 6y – 5y = 108 – 60
⇒ y = 48 km.
Hence , required length of the race be 48 km.
