Multiple choice

The speed of the boat in still water is 16 km/hr and speed of the current is 2 km/hr. It takes a total of 6.5 hours to row upstream from point A to point B and downstream from point B to point C. If the distance from point A to point B is two third the distance between point B and C, what is the total distance travelled by the boat?(in km)

  1. 52.5

  2. 77

  3. 87.5

  4. 105

  5. 154
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The boat's upstream speed is 16-2=14 km/hr and downstream speed is 16+2=18 km/hr. Let BC = d km, so AB = (2/3)d km. Total time = (2d/3)/14 + d/18 = 6.5 hours. Solving gives d = 63 km, so AB = 42 km. Total distance = 63 + 42 = 105 km. Option D (105 km) is correct.

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