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Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)
Question 1170933: You take your car to a mechanic to get it fixed. The rate for the car mechanic is
$45 for the first hour and $35 for each additional hour. He is also going to charge you $100 for
parts. After the mechanic was finished, he hands you a bill for $355. How many hours did he
work on your car?
Click here to see answer by ikleyn(53763)   |
Question 1170941: The bird capable of the fastest flying speed is the swift. A swift flying with the wind to a favorite feeding spot traveled 36 mi in 0.3 h. On returning, now against the wind, the swift was able to travel only 21 mi in the same amount of time. What is the rate of the swift in calm air, and what was the rate of the wind?
Click here to see answer by ikleyn(53763) |
Question 1171268: how would you represent the amount of work that peter can finish in1hour?how about the amount of work that Paul can finish in 1hour? if they work together,what equation would represent the amount of work they can finish in 1 hour?
Click here to see answer by Theo(13342)  |
Question 1171603: Please help me solve this problem: There are two hoses filling up a pool. The two hoses have different capacities; using one hose, the job
only takes 45 minutes, but using the other hose would take 2 hours. How long would it take to fill up
the pool using both hoses?
I've tried: 1/x + 1/120 = 1/45, not sure what to do after this.
Thank you!
Click here to see answer by ikleyn(53763) |
Question 1171797: Dennis estimates that he could paint Mrs. Abaya's house in 6 days. Adam, her assistant, calculated that he could do it in 10 days. How long would it take both of them to finish the job if they worked together?
Click here to see answer by ikleyn(53763) |
Question 1172068: You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Your truck can carry a 3/4 -ton load. How many bricks can your truck carry in a full load?
a. 300
b. 307
c. 362
d. 409
e. 483
Click here to see answer by Boreal(15235)  |
Question 1172866: A stone is thrown directly upward from a board that is 32 feet high. After t seconds, its height above the water is described by the polynomial -16t^2+16t+32.
a. Factor the polynomial completely. Begin by factoring -16 from each term.
b. Evaluate both the original polynomial and its factored form for t=2. Do you get the same answer for each evaluation?
Click here to see answer by Boreal(15235) |
Question 1174522: A contractor finds that Crew A takes 5(1/2) hours to construct a retaining wall and Crew B can do the same job in 7(1/2) hours. If Crew A and Crew B work together, how long will it take them to construct the retaining wall?
a) Let h = the time to complete the job. Write the equation you would use to solve this problem.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1174520: You know it takes 11.5 hours to fill your pool with your faucet and hose.
Last year, you used both your hose and a hose borrowed from a neighbor, and it took 9 hours. This year, your faucet is broken and you can only use your neighbor's hose. How long will it take?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1174521: Angela can shovel the snow from her driveway in 3 hours. When Franklin joins her, the driveway can be finished in just 48 minutes.
How long would it take Franklin to shovel the driveway alone?
a) Let m = the number of minutes to complete the job. Write the equation you would use to solve this problem.
Click here to see answer by josgarithmetic(39799) |
Question 1174482: A contractor finds that Crew A takes
5(1/2) hours to construct a retaining wall and Crew B can do the same job in
7(1/2) hours. If Crew A and Crew B work together, how long will it take them to construct the retaining wall?
a) Let h= the time to complete the job. Write the equation you would use to solve this problem.
b) Now solve your equation. Give your answer first as a reduced fraction, and then a decimal rounded to 3 places.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1174864: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There are 700 liters in the pond to start.
Let represent the amount of water in the pond (in liters), and let represent the number of minutes that water has been added. Write an equation relating to , and then graph your equation using the axes below.
Click here to see answer by Solver92311(821)  |
Question 1174937: officials begin to release water from a full man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 25 weeks in replenishing the lake at the same time. How many weeks does it take to empty the lake
Click here to see answer by ikleyn(53763) |
Question 1175649: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 9 hours. How long will it take to fill the vat if both pipes are left open?
Click here to see answer by ikleyn(53763) |
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