In a 10 km race. A, B,and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?

1900

From CAT 2017 – Quantitative Aptitude – Arithmetic – TSD, we can see that, Speed of A = Sa

Speed of B = Sb

Speed of C = Sc

Time taken by A (t) to travel 10 km = 10/Sa = 9/Sb = x(As B is behind A by 1 km)

Similarly, for B and C, 10/Sb = 10/Sc

So, Sa = 10/x, Sb = 9/x and Sc = 81/10x

Calculate the distance travelled by C in the time A covers 10 km

x * (81/10x) = 8.1 km

The distance between A and C = 10 – 8.1 = 1.9 km = 1900 m

Answer: 1900 m

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