Multiple choice

In the festival of Onam three boats A, B and C with speeds 17 k/h, 23 k/h and 15 k/h participated for a race of 105 km. If the speed of stream is 3 k/h and the boats are running in the direction of stream then find by what distance winner boat is ahead of the last boat.

  1. 45 km

  2. 44 km

  3. 41 km

  4. 42 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Effective speeds in stream direction: A = 17 + 3 = 20 km/h, B = 23 + 3 = 26 km/h, C = 15 + 3 = 18 km/h. Time taken: A = 105/20 = 5.25 hours, B = 105/26 = 4.04 hours (winner), C = 105/18 = 5.83 hours. Distance between winner B and last C when B finishes: Distance by C = 18 × 4.04 = 72.7 km. Lead = 105 - 72.7 ≈ 42 km.

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