To arrive on schedule, a train is to cover a distance of 60km at 72km/hr….

To arrive on schedule, a train is to cover a distance of 60km at 72km/hr. If it starts 10 minutes late, at what speed must it move to arrive on schedule?
  • A.
    60km/hr
  • B.
    80km/hr
  • C.
    90km/hr
  • D.
    108km/hr
Correct Answer: Option C
Explanation

(speed = frac{distance}{time}\
72 = frac{60}{time}\
t = frac{60}{72} = frac{5}{6}hr)
time lost = 10mis (= frac{10}{60}hr = frac{1}{6})
Time required for the journey
(=frac{5}{6}-frac{1}{6} = frac{2}{3}\
speed hspace{1mm}=60 div frac{2}{3} = 90km/hr)

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