Asked by Timmy
Andre left his campsite and paddled to a fishing hole 1.5 km downstream. He timed his trip and found that it took him 9 min, His return trip upstream took him 22.5 min. Determine the speeed at which he paddled and the speed of the river? what steps did u use
Answers
Answered by
Henry
9 min. = 0.15h, 22.5 min = 0.375h.
d = (Va+Vs)*t = 1.5 km.
(Va+Vs) * 0.15 = 1.5.
Eq1: Va + Vs = 10.
(Va-Vs)*0.375 = 1.5.
Eq2: Va - Vs = 4.
Add the two Eqs:
Va + Vs = 10.
Va - Vs = 4.
Sum: 2Va = 14, Va = 7 km/h.
In Eq1, replace Va with 7:
7 + Vs = 10 km/h, Vs = 3 km/h.
Va = Velocity of Andre.
Vs = Velocity of the stream.
d = (Va+Vs)*t = 1.5 km.
(Va+Vs) * 0.15 = 1.5.
Eq1: Va + Vs = 10.
(Va-Vs)*0.375 = 1.5.
Eq2: Va - Vs = 4.
Add the two Eqs:
Va + Vs = 10.
Va - Vs = 4.
Sum: 2Va = 14, Va = 7 km/h.
In Eq1, replace Va with 7:
7 + Vs = 10 km/h, Vs = 3 km/h.
Va = Velocity of Andre.
Vs = Velocity of the stream.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.