A)Two boats start together and race across a 70-km-wide lake and back. Boat A go

Question

A)Two boats start together and race across a 70-km-wide lake and back. Boat A goes across at 70 km/h and returns at 70 km/h. Boat B goes across at 35 km/h, and its crew, realizing how far behind it is getting, returns at 105 km/h. Turnaround times are negligible, and the boat that completes the round-trip first wins.

Which boat wins? By how much?
What is the average velocity of the winning boat?

B)A ladder 7.05 m long leans against the side of a building. If the ladder is inclined at an angle of 65.0° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building?

Explanation / Answer

A) time for A = 70 / 70 + 70 / 70 = 2 hr time for B = 70 / 35 + 70 / 105 = 2+0.666 = 2.666 hr boat A wins ---answer by 0.666 hr --answer average velocity of the winning boat is 70 km/h

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