IP Two people take identical Jet Skis across a river, traveling at the same spee

Question

IP Two people take identical Jet Skis across a river, traveling at the same speed relative to the water. Jet Ski A heads directly across the river and is carried downstream by the current before reaching the opposite shore. Jet Ski B travels in a direction that is 27 upstream and arrives at the opposite shore directly across from the starting point. )

a)Which Jet Ski reaches the opposite shore in the least amount of time? i know the answer is a.

b)can you help with this part please! Confirm your answer to part A by finding the ratio of the time it takes for the two Jet Skis to cross the river.

Explanation / Answer

Let both have velocity v m/s Width of the stream is w as A is heads directly across the river time required to travel. w will be w/v s Now B is 27* towards up stream, v cos 35* is towards across the river. he will w / (v cos 35) s w / (v cos 27) is > w/v so jet ski A reaches the opposite shore in the least amount of time ans. (b) Confirm your answer to part (a) by finding the ratio of the time it takes for the two jet skis to cross the river. ...... (jet ski A/jet ski B) = ( w/v ) / ( w/v cos275) = cos 27 = 0.89 time for A = 0.89 x time for B

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