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Average speed of a bus

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Speed Time Distance

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A bus covers a distance of first 50 km in 40 minutes, next 50 km at a speed of 2 km per minute and the next 30 km at a speed of 1.0 km per minute. What is its average speed during the entire journey?

  1. A.

    61.5 kmph

  2. B.

    55.06 kmph

  3. C.

    82.1 kmph

  4. D.

    80 kmph

Answer

C

Explanation

Total distance = 50+50+30=13050 + 50 + 30 = 130 km.

Time 1 = 40 minutes. Time 2 = 502=25\frac{50}{2} = 25 minutes. Time 3 = 301.0=30\frac{30}{1.0} = 30 minutes.

Total time = 40+25+30=9540 + 25 + 30 = 95 minutes = 9560\frac{95}{60} hours.

Average speed = Total distanceTotal time=13095/60=130×6095≈82.1\frac{\text{Total distance}}{\text{Total time}} = \frac{130}{95/60} = \frac{130 \times 60}{95} \approx 82.1 kmph.

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