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MAT Exam 2022 Paper

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Question : 112 of 200

Marks: +1, -0

A motorcyclist covers 4 successive 4 km stretches at speeds of 20 kmph, 30 kmph, 40 kmph, and 50 kmph respectively. Find the average speed over the total distance.

40.2 kmph
31.2 kmph
50.3 kmph
36 kmph

Solution:

Concept:

Average speed is total distance divided by total time taken.

Explanation:

Total distance covered is

4 \times 4 = 16

km.

Time for each stretch is distance divided by speed.

Total time taken is:

\frac{4}{20} + \frac{4}{30} + \frac{4}{40} + \frac{4}{50}

hours

= 0.2 + 0.1333 + 0.1 + 0.08 = 0.5133

hours

Therefore, average speed is:

\frac{16}{0.5133} = 31.17 \approx 31.2

kmph

Answer:

Option B:

31.2

kmph

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