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Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)
Question 624020: George can rake a lawn in 5 hours. George and Juan together can rake the lawn in 2 hours. How long would it take for Juan to rake the lawn by himself? Use the following equation to solve this problem where J represents the time it would take Juan to rake the lawn:
2/5+2/J=1
Click here to see answer by richwmiller(17219)  |
Question 634465: Your friend can address envelopes twice as fast as you can. Together you and your friend address all the invitations envelopes in 3 hours. How long would it take your friend to address the envelopes the alone.
Click here to see answer by stanbon(75887) |
Question 634365: A man and a boy perform a task in 2 days. They completed one-half of the task with the the first day with the man working 8 hours and the boy working 10 hours. On the next day they finish the task with the man working 4 hours and the boy working 15 hours. Find how many days it would take for each working alone to do the task.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 634511: Set up a system of three equations with three variables.
A, B, and C complete a task in 3 days. On the first day they do 1/3 of the task with A working 10 hours, B working 4 hours, and C working 10 hours. On the second day they do 1/4 of the task with A working 4 hours, B working 6 hours, and C working 9 hours. They finish the task on the third day with A working 7 hours, B working 12 hours, and C working 12 hours. Find the number of hours it would take for each man working alone to do the task.
Click here to see answer by richwmiller(17219)  |
Question 634363: A, B, and C complete a task in 3 days. On the first day they do 1/3 of the task with A working 10 hours, B working 4 hours, and C working 10 hours. On the second day they do 1/4 of the task with A working 4 hours, B working 6 hours, and C working 9 hours. They finish the task on the third day with A working 7 hours, B working 12 hours, and C working 12 hours. Find the number of hours it would take each man working alone to do the task.
Click here to see answer by richwmiller(17219)  |
Question 635407: There are three robots that make 12 repairs in 10 minutes. The Orti robot can make 10 repairs in 8 minutes. The eddie robot can make 8 repairs in 6 minutes. Approximately how long will it take the three robots working together to complete 100 repairs?
Click here to see answer by richwmiller(17219)  |
Question 635716: A can do half as much work as B in the same time and B can do one third as much work as C. If they can finish the work in 12 days, find in how many days can each finish the work.
Solution:
Let C does 1 work in x days, then
C = 1/x, B = 1/3x, A = 1/16x
Total work = 1
or, 12(1/x + 1/3x + 1/6x) = 1
Or, x = 1/18
So, C = 18 days, B = 54 days, C = 108 days. Am I right ? I am not sure.
Click here to see answer by ewatrrr(24785)  |
Question 636387: If it takes a 4 litre jerry can 20 mins to fill up a 1000 liter tank, 12 mins for a 6 liter jerry can to fill the same tank separately, and 10 mins for a 7 liter jerry can to fill the tank separately, how long will it take all together to fill the 1000 liter tank?
Click here to see answer by stanbon(75887) |
Question 636502: Christopher can paint the interior of his house in 35 hours. If he hires Cynthia to help him they can do the same job together in 25 hours. If he lets Cynthia work alone, how long will it take her to paint the interior of his house?
Click here to see answer by richwmiller(17219)  |
Question 636747: Christopher can paint the interior of his house in 14 hours. If he hires Cynthia to help him, they can do the same job together in 10 hours. If he lets Cynthia work alone, how long will it take her to paint the interior of his house?
Click here to see answer by jerryguo41(197)  |
Question 638562: 1.Eight workers can paint an entire house in ten hours. How long would it take five workers to paint the same house?
2. It takes five workers twelve hours to unload one truck. How long would it take six workers to unload the same truck.
3. If twelve workers cna dig a tunnel in 100 days, how long will it take twenty workers to dig the tunnel.
Click here to see answer by stanbon(75887) |
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