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Speed in Race

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Time Speed Distance

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In a 1000 metre race, Rahul reaches the finishing line 5 seconds before Raj and beats Raj by 50 metre. What is Rahul's speed (in m/s)?

  1. A.

    1191911 \frac{9}{19}

  2. B.

    99199 \frac{9}{19}

  3. C.

    10101910 \frac{10}{19}

  4. D.

    910199 \frac{10}{19}

Answer

C

Explanation

Raj takes 5 seconds to cover 50 metres, so Raj's speed v1=505=10v_1 = \frac{50}{5} = 10 m/s. Time taken by Raj to complete 1000 m = 100010=100\frac{1000}{10} = 100 seconds. Rahul completes 1000 m in 100−5=95100 - 5 = 95 seconds. Rahul's speed v2=100095=20019=101019v_2 = \frac{1000}{95} = \frac{200}{19} = 10 \frac{10}{19} m/s.

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