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Speed, Time and Distance

CMAT 2022 · Quantitative Techniques & Data Interpretation · Easy · Speed Time Distance

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With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 30 km/hr, it is late by 36 minutes. The total distance travelled by train is:

  1. A.

    72 km

  2. B.

    78 km

  3. C.

    60 km

  4. D.

    40 km

Answer

A

Explanation

Let scheduled time be tt hours. Distance =40t=30(t+3660)= 40t = 30 \left(t + \frac{36}{60}\right). 40t=30t+18  ⟹  10t=18  ⟹  t=1.8 hours40t = 30t + 18 \implies 10t = 18 \implies t = 1.8\text{ hours}. Distance =40×1.8=72 km= 40 \times 1.8 = 72\text{ km}.

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