Multiple choice

A train travels for 7 hours at the speed of 27 km/hr. and for 9 hours at the speed of 38 km/hr. At the end of it driver finds he has covered (\frac{3}{7})th of total distance. At what speed the train should travel to cover the remaining distance in 24 hours?

  1. 29.5 km/hr

  2. 20.8 km/hr

  3. 27.25 km/hr

  4. 32.75 km/hr

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Distance covered = (7 × 27) + (9 × 38) = 189 + 342 = 531 km. This is 3/7 of total distance, so total distance = 531 × 7/3 = 1239 km. Remaining distance = 1239 - 531 = 708 km. Speed needed = 708/24 = 29.5 km/hr. Option A is correct.

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