Discussion

Explanation:

Let their speeds be a, b and c respectively and the length of the race be D.

Car A beats car B by 45 kms

ab=DD-45   …(1)

Car B beats car C by 50 kms

bc=DD-50   …(2)

Car A beats car C by 90 kms

ac=DD-90   …(3)

   (1) × (2) = (3)

DD-45×DD-50=DD-90

D(D-45)(D-50)=1D-90

⇒ D2 – 95D + 2250 = D2 – 90D

⇒ 5D = 2250

⇒ D = 450

Hence, option (b).

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