CAT Question Paper | CAT Verbal Ability Slot
Question :
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
Started 2 weeks ago by Shashank in
Option D
is the correct answer.
Explanatory Answer
Answer - A
Let the length of track be ‘x’
In time ‘ t A ’, distances covered by all 3 cars are:
A: x (completes race)
B: x - 45
C: x – 90
In time ‘ t B ’, distances covered are:
B: x (Completes race)
C: x – 50
Ratio of distances = ratio of speeds
Therefore, ratio of speeds of B & C are:
\({x-45 \over {x-90}}={x \over {x-50}}\)
\((x-45)(x-50)=x(x-90)\)
\(x^{2}-95x+2250=x^{2}-90x\)
\(5x=2250\)
\(x=450\)
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