Examples - see how we will help!
The Algebra Word Problem Solver Solves Water and Wind Current Word Problems.
Algebra Applications: Solve water current or air current travel word problems - see also:
- Still water speed and water current speed is given.
- Upstream / Downstream time relationship.
- Finding Upstream / Downstream time and Distance.
What You Enter
Kate can row a boat 10 miles per hour in still water. In a river where the current is 5 miles per hour, it takes her 4 hours longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many miles she rows.
What You Get
Given: C = Current = 5 MPH
Given: V = Still Water Speed = 10 MPH
Let T = Downstream Time
Given: Upstream Time = Downstream speed + 4 HOURS = T + 4
Find D = Distance
Find Times
Distance Upstream = Distance Downstream
(V-C) * TimeUpstream = (V+C) * TimeDownstream
(10-5) * (T+4) = (10+5) * T
5 * (T+4) = 15T
5T + 20 = 15T
20 = 10T
T = 2 HOURS
Downstream Time = 2 HOURS
Upstream Time = 6 HOURS
Distance = (10+5)*2 = 30 MILES One way
Distance = 60 MILES Round trip
Distance = 60 MILES Round trip
