Asked by Henry P
It took a boat 6 h to travel 84 km up a river against the current but only 4 h and 12 minutes for the return trip with the current. Find the speed of the boat in still water and the speed of the current water.
Answers
Answered by
Henry
Vb - Vw = 84km/6h = 14km/h.
Vb + Vw = 84km/4.2h = 20 km/h.
Eq1: Vb - Vw = 14
Eq2: Vb + Vw = 20
Add the Eqs:
2Vb = 34
Vb = 17 km/h. = Velocity of boat.
In Eq2, substitute 17 for Vb:
17 + Vw = 20
Vw = 3 km/h = Velocity of the water.
Vb + Vw = 84km/4.2h = 20 km/h.
Eq1: Vb - Vw = 14
Eq2: Vb + Vw = 20
Add the Eqs:
2Vb = 34
Vb = 17 km/h. = Velocity of boat.
In Eq2, substitute 17 for Vb:
17 + Vw = 20
Vw = 3 km/h = Velocity of the water.
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