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Can someone provide a detailed solution to this problem? 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. 475 2. 500 3. 450 4. 550


Khushi Sharma 18th Feb, 2021
Answer (1)
ginnisachdeva02_9364270 Student Expert 18th Feb, 2021

Hi Khushi,

Let us assume that the length of racetrack is x kms.

so, now when A covers x kms then, B covers (x-45)kms and C covers (x-90) kms.

And when B covers x kms,then C covers (x-50) kms.

We have concluded from the given question is that the ratio of speed of racers is same as the ratio of distance covered in a specific given time.

Therefor, Ratio of speed of B and C,

(Speed of B) / (speed of C) = (x - 45) / (x-90) = x / (x-50)

=> x / (x-50) = 45/40

After solving this, we get x = 450 kms.

Hope it helps to clear your dilemma, thankyou!

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1 Comment
Comments (1)
18th Feb, 2021
Thank you so much, This really helped.
Reply
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