Exercises with Solutions
Exercises with Solutions
Exercises with Solutions
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744 Chapter 7 Rational Functions<br />
17. Jacob is canoeing in a river <strong>with</strong> a<br />
5 mph current. Suppose that he can canoe<br />
4 miles upstream in the same amount<br />
of time as it takes him to canoe 8 miles<br />
downstream. Find the speed (mph) of<br />
Jacob’s canoe in still water.<br />
18. The speed of a freight train is 16<br />
mph slower than the speed of a passenger<br />
train. The passenger train travels 518<br />
miles in the same time that the freight<br />
train travels 406 miles. Find the speed<br />
of the freight train.<br />
19. The speed of a freight train is 20<br />
mph slower than the speed of a passenger<br />
train. The passenger train travels 440<br />
miles in the same time that the freight<br />
train travels 280 miles. Find the speed<br />
of the freight train.<br />
20. Emily can paddle her canoe at a<br />
speed of 2 mph in still water. She paddles<br />
5 miles upstream against the current<br />
and then returns to the starting location.<br />
The total time of the trip is 6<br />
hours. What is the speed (in mph) of<br />
the current? Round your answer to the<br />
nearest hundredth.<br />
21. Jacob is canoeing in a river <strong>with</strong> a<br />
2 mph current. Suppose that he can canoe<br />
2 miles upstream in the same amount<br />
of time as it takes him to canoe 5 miles<br />
downstream. Find the speed (mph) of<br />
Jacob’s canoe in still water.<br />
22. Moira can paddle her kayak at a<br />
speed of 2 mph in still water. If she<br />
can paddle 4 miles upstream in the same<br />
amount of time as it takes her to paddle<br />
8 miles downstream, what is the speed of<br />
the current?<br />
23. Boris can paddle his kayak at a speed<br />
of 6 mph in still water. If he can paddle<br />
5 miles upstream in the same amount of<br />
time as it takes his to paddle 10 miles<br />
downstream, what is the speed of the<br />
current?<br />
24. The speed of a freight train is 19<br />
mph slower than the speed of a passenger<br />
train. The passenger train travels 544<br />
miles in the same time that the freight<br />
train travels 392 miles. Find the speed<br />
of the freight train.<br />
25. It takes Jean 15 hours longer to<br />
complete an inventory report than it takes<br />
Sanjay. If they work together, it takes<br />
them 10 hours. How many hours would<br />
it take Sanjay if he worked alone?<br />
26. Jean can paint a room in 5 hours.<br />
It takes Amelie 10 hours to paint the<br />
same room. How many hours will it take<br />
if they work together?<br />
27. It takes Amelie 18 hours longer to<br />
complete an inventory report than it takes<br />
Jean. If they work together, it takes<br />
them 12 hours. How many hours would<br />
it take Jean if she worked alone?<br />
28. Sanjay can paint a room in 5 hours.<br />
It takes Amelie 9 hours to paint the same<br />
room. How many hours will it take if<br />
they work together?<br />
29. It takes Ricardo 12 hours longer<br />
to complete an inventory report than it<br />
takes Sanjay. If they work together, it<br />
takes them 8 hours. How many hours<br />
would it take Sanjay if he worked alone?<br />
Version: Fall 2007
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