Two boats start together and race across a 50 km wide lake and back. Boat A goes

Question

Two boats start together and race across a 50 km wide lake and back. Boat A goes across at50 km/h and returns at 50 km/h. Boat B goes across at 25 km/h, and its crew, realizing how far behind itis getting, returns at 75 km/h.Turnaround times are negligible, and the boat that completes theround-trip first wins. I know boat A wins but the second part of the question is byhow many km and I am getting stumped apparently... some help on how to figure out the answer would be wonderful.You can post an answer too but atleast explain how you got it Two boats start together and race across a 50 km wide lake and back. Boat A goes across at50 km/h and returns at 50 km/h. Boat B goes across at 25 km/h, and its crew, realizing how far behind itis getting, returns at 75 km/h.Turnaround times are negligible, and the boat that completes theround-trip first wins. I know boat A wins but the second part of the question is byhow many km and I am getting stumped apparently... some help on how to figure out the answer would be wonderful.You can post an answer too but atleast explain how you got it

Explanation / Answer

a "common sense" approach is the easiest way to solve thisproblem: after 1 hour, boat A (50 km/hr) is at the other side of the lake,and boat B (25 km/hr) is only halfway across. after 2 hours, boat A(50 km/hr) has finished the race. boat B(still at 25 km/hr) has just reached the other end. so boat A won by 50 km. boat B never reached 75 km/hr until after the race is over, so itis irrelevant to solving the problem.

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