Multiple choice

A boat can travel 48 km downstream in 6 hours if the speed of the current is 2 kmph. What distance can the boat travel upstream in 3 hours?

  1. 18 km

  2. 24 km

  3. 12 km

  4. 30 km

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

Downstream speed = 48/6 = 8 kmph. Boat speed + current = 8. Boat speed + 2 = 8, so boat speed = 6 kmph. Upstream speed = boat speed - current = 6 - 2 = 4 kmph. Distance in 3 hours = 4 * 3 = 12 km.

AI explanation

The boat's downstream speed is the total distance divided by the time, which is 48 km divided by 6 hours, equaling 8 kmph. Using the downstream speed formula, boat speed plus stream speed, the boat's speed in still water is 8 minus 2, or 6 kmph. The upstream speed is the boat's speed minus the stream speed, giving 6 minus 2, which is 4 kmph; therefore, in 3 hours the boat travels 4 multiplied by 3, equaling 12 km.

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