# In a car race, car A beats car B by 45 km - Quantitative Aptitude | CAT TSD |

## CAT 2020 – Slot 2 - CAT TSD - Question 1 - In a car race, car A beats car B by 45 km

Question 1: In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is

##### 1. 5502. 4753. 5004. 450

1. D.

Let the length of the race track be ‘x’ km.

By the time A finishes the race, B lags by 45km.

That is, in the same time, while A runs x kms, B runs (x-45) kms

Ratio of Speeds of A and B = x/x−45

By the time B finishes the race, C lags by 50km.

That is, in the same time, while B runs x kms, C runs (x-50) kms

Ratio of Speeds of B and C = x/x−50

By the time A finishes the race, C lags by 90km.

That is, in the same time, while A runs x kms, C runs (x-90) kms

Ratio of Speeds of A and C = x/x−90

(Ratio of Speeds of A and B) × (Ratio of Speeds of B and C) = (Ratio of Speeds of A and C)

Therefore,

9x = 10x – 450

x = 450

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