Solving Rate Problems: Boat Speed, Wind Speed, and Tank Filling
Discusses solving rate problems.
Evelyn Morris
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Solving Rate Problems: Boat Speed, Wind Speed, and Tank
Filling
Section 6.8: Exercises 36, 54, 64
36). Upstream downstream. Junior’s boat will go 15 miles per hour in still water. If he
can go 12 miles downstream in the same amount of time as it takes to go 9 miles
upstream, hen what is the speed of the current?
Speed of current = x mph
Speed when downstream = (15+x)mph
Speed when upstream = (15-x)mph
speed
cedis
time tan
Distance
Now according to the question both time are same so
143.2
7
15
21
45
4521
135180129
121809135
)15(1215(9
15
12
15
9
x
x
x
x
xx
xx
xx
xx
The speed of the current will be 2.143 mph
#54). Big Plane. A six passenger plane cruises at 180 mph in calm air. If the plane flies
7 miles with the win in the same amount of time as it flies 5 miles against the wind, then
what is the wind speed?
Speed of wind = x mph
Speed of plane in the direction of wind = (180 +x) mph
Speed against direction = (180-x) mph
Filling
Section 6.8: Exercises 36, 54, 64
36). Upstream downstream. Junior’s boat will go 15 miles per hour in still water. If he
can go 12 miles downstream in the same amount of time as it takes to go 9 miles
upstream, hen what is the speed of the current?
Speed of current = x mph
Speed when downstream = (15+x)mph
Speed when upstream = (15-x)mph
speed
cedis
time tan
Distance
Now according to the question both time are same so
143.2
7
15
21
45
4521
135180129
121809135
)15(1215(9
15
12
15
9
x
x
x
x
xx
xx
xx
xx
The speed of the current will be 2.143 mph
#54). Big Plane. A six passenger plane cruises at 180 mph in calm air. If the plane flies
7 miles with the win in the same amount of time as it flies 5 miles against the wind, then
what is the wind speed?
Speed of wind = x mph
Speed of plane in the direction of wind = (180 +x) mph
Speed against direction = (180-x) mph
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Subject
Mathematics