Multiple choice

Speed of a man in still water is 16 km/hr and the river is running at 6 km/hr. The total time taken to go to a place and come back is 8 hours. Find the distance travelled by the man?

  1. 146 km

  2. 110 km

  3. 142 km

  4. 133 km

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

Downstream speed = 16 + 6 = 22 km/hr. Upstream speed = 16 - 6 = 10 km/hr. Let distance be D. D/22 + D/10 = 8. (10D + 22D) / 220 = 8. 32D = 1760. D = 55 km. Total distance travelled = 2 * 55 = 110 km.

AI explanation

The downstream speed of the man is 16 + 6 = 22 kmph and his upstream speed is 16 - 6 = 10 kmph. If D is the one-way distance, the total time is given by D/22 + D/10 = 8 hours. Adding the fractions gives 32D/220 = 8, and solving for D results in a one-way distance of 55 km, making the total distance travelled 110 km.

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