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
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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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