Mathematical Aptitude - Time and Distance

11. Excluding stoppages, the speed of a bus is 54 kmph, and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

  • Option : B
  • Explanation : Due to stoppages, it covers 9 km less.
    Time taken to cover 9 km = 9/54 × 60 min = 10 min
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12. A man completes a journey in 10 hours. The first-half of the journey is covered at the speed of 21 km per hour and second-half at 24 km per hour. The total distance covered during the journey is

  • Option : B
  • Explanation : Average speed = (2 × 21 × 24)/(21 + 24) = 22.4 kmph
    Distance = Time × Speed = 22.4 × 10 = 224
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13. A man on tour travels first 320 km at 64 kmph and the rest at 80 kmph. The average speed for the entire 640 km of the tour is

  • Option : C
  • Explanation : As the distance in both ways is same, we can apply the formula 2xy/x + y.
    Average speed = (2 × 64 × 80)/(64 + 80) = 71.11 kmph
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14. A person travelled a distance of 610 km in 9 hours. He travelled the first phase at a speed of 40 kmph and the rest at 90 kmph. The distance travelled during the first phase is

  • Option : C
  • Explanation : Let the distance travelled in first phase be x km.
    Then, distance travelled in second phase = (610 − x) km.
    Hence, x/40 + (610 − x)/90 = 9 hours
    ⇒ x = 160 km
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15. A train whose length is 320 m is running at a speed of 36 kmph. How much time will it take to pass a pole?

  • Option : B
  • Explanation : Distance to be travelled = 320 m
    Speed = 36 kmph = 36 × 5/18 = 10 m/s
    Time taken = D/S = 320/10 = 32 s
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