Aspire Faculty ID #11107 · Topic: DU MCA 2021 · Just now
DU MCA 2021

In a race of 1 Kilometer, athlete A beats athlete B by 50 meters, in another race of 500 meters, athlete B beats athlete C by 50 meters. By how many meters (Approximately) can athlete A beat athlete C in a race of 400 meters?
(a) 50 meters
(b) 58 meters
(c) 62 meters
(d) 72 meters

Solution

$\dfrac{v_A}{v_B}=\dfrac{1000}{950}=\dfrac{20}{19}$,   $\dfrac{v_B}{v_C}=\dfrac{500}{450}=\dfrac{10}{9}$

$\Rightarrow \dfrac{v_A}{v_C}=\dfrac{200}{171}$

When A runs $400$ m, C runs $400\times\dfrac{171}{200}=342$ m.

Difference $=400-342=58$ m.

Answer: 58 meters ✅

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