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Speed of a boat, by traveling time of a round trip for a certain distance in a river (flowing water)

작성자 Uploader : orion 작성일 Upload Date: 2019-10-28변경일 Update Date: 2020-01-14조회수 View : 224

A boat took a round trip for the distance L (km) from river downstream to the upstream and back to downstream. If it took t1 (hr) to go upstream, and t2 (hr) to go downstream from the upstream. The actual speed of the boat, V (km/hr), can be obtained as follows.

If the velocity of the river flow is Vr (km/hr),

t1 = L/(V-Vr)
t1*V - t1*Vr = L
Vr = (t1*V - L)/t1

t2 = L/(V+Vr)
t2*V+t2*Vr = L
Vr = (L-t2*V)/t2

Since (t1*V - L)/t1 = (L-t2*V)/t2,

t2*(t1*V - L) = t1*(L-t2*V)

2*t1*t2*V = (t1+t2)*L

V = (t1+t2)*L / (2*t1*t2)

*** 참고문헌[References] ***
V = (t1+t2)*L / (2*t1*t2)
변수명 Variable 변수값 Value 변 수 설 명 Description of the variable


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