Two boats start together and race across a 68-km-wide lake and back. boat a goes across at 68 km/h and returns at 68 km/h. boat b goes across at 34 km/h, and its crew, realizing how far behind it is getting, returns at 102 km/h. turnaround times are negligible, and the boat that completes the round trip first wins.

Question

Physics

Alvin Sparks

17 July, 12:51

Two boats start together and race across a 68-km-wide lake and back. boat a goes across at 68 km/h and returns at 68 km/h. boat b goes across at 34 km/h, and its crew, realizing how far behind it is getting, returns at 102 km/h. turnaround times are negligible, and the boat that completes the round trip first wins.

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Giovanny Gentry · Answer 1

Boat speed is 68km/h both to and fro.

boat b speed to is 34km/h and back is 102km/h

time taken by boat to is distance/speed = 68 km/68km/h=1 hour

and fro is 68km/68km/h=1 hour

for the whole trip boat a took 2 hours

boat b speed to is 34km/h and distance is 68km, so it took 68km/34km/h = 2 hours to and fro it took 68km/102km/h=0.67 hours

for the whole trip boat b took 2.67 hours

so boat a is the winner as it took 2 hours to complete the challenge.