Algebra Ch6.7 Applications: Rational Equations and Proportions

• 16hr

• $3\ \frac{15}{16}$ hr

• $\frac{16}{63}hr$

• 1

Amy can clean the house in 9 hours. When she works together with Tom, the job takes 5 hours. How long would it take Tom, working by himself, to clean the house?

• 12.25hr

• 11.25hr

• 4hr

• 11.5hr

An experienced accountant can prepare a tax return in 11 hours. A novice accountant can do the job in 23 hours. How long will it take them to do the job working together?

• 7 $\frac{15}{34}$ hr

• $\frac{1}{34}$ hr

• $21\ \frac{1}{12}$ hr

• $\frac{1}{253}$ hr

A loaded moving truck is traveling 20 mph faster than a freight train. In the time it takes the train to travel 180 miles, the truck travels 260 miles. Find the speed of the truck.

• 65mph

• 130mph

• 20mph

• 13mph

The speed of a stream is 5 mph. If a boat travels 46 miles downstream in the same time that it takes to travel 23 miles upstream, what is the speed of the boat in still water?

• 18mph

• 17mph

• 10mph

• 15mph

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 60 miles in the same time that Dana travels 54 miles. If Chuck's rate of travel is 3 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?

• 37mph

• 30mph

• 27mph

• 23mph

Mieko, who is 2.00 m tall, wishes to find the height of a tree with a shadow 33.10 m long. She walks 22.25 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth.

• 2.98m

• 2.00m

• 6.10m

• 3.34m

A line from the top of a cliff to the ground passes just over the top of a pole 5.0 ft high and meets the ground at a point 7.0 ft from the base of the pole. If the point is 64 ft from the base of the cliff, how high is the cliff? Round to the nearest unit.

• 5ft

• 320ft

• 46ft

• 2240ft

A machine can fill 4647 cartons of milk in 0.6 hour. How many cartons of milk can it fill per hour?

• 2788 cartons

• 4648 cartons

• 7745 cartons

• 6639 cartons

Dr. Taylor can see 10 patients in 4 hours. At this rate, how long would it take him to see 20 patients?

• 50hrs

• 40hrs

• 8hrs

• 7hrs