Work word problems

Work Problems are word problems that involve different people doing work together but at different rates. Another problem involves pipes filling up a tank. Another name for these problems is working together word problems.

We suggest solving working together word problems with the proportion. If we can complete a task in t hours, we can complete 1/t of the task in one hour.

Number of problems found: 849

Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace.
Common work 2
Person A works twice as fast as person B. If both of them together can finish a piece of work in 12 days, how many days would person B alone take to do it?
Combined work
Latoya works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $7.60 an hour for babysitting. How much will she earn for 6 hours of mowing and 1 hour of babysitting?
Tammy
Tammy attends Gray River College. Tuition this year is $6,450. Tammy's parents have saved $2,000 for her tuition. She also has a grant for $1,100 and a music scholarship for $800. Tammy plans to earn the rest at her work-study job. How much money does Tam
Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share?
Working group
20 men complete one third of a piece of work in 20 days. How many additional men should be employed to finish the rest of the work in 25 more days?
A ration
108 kg of rations are sufficient for 18 students for 15 days. For how many students will 70 kg of rations be sufficient for 25 days?
Five men
5 men or 9 women can complete a piece of work in 19 days. In how many days will 3 men and 6 women complete it?
Common work
39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the same work with 30 men working 6 hours a day?
Worker 25
Worker A can complete 2/3 of a certain job in 12 days, and worker B can complete 1/6 of the same job in 4 days. In how many days will they complete the job if they work together?
The rates
The rates of working of A and B are in the ratio 3 : 4. What is the ratio of the number of days taken by them to finish the work?
Work in factory
45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
Fraction of a work
Person A can do 1/2 of a piece of work in 8 days, while person B can do 1/3 of the same work in 8 days. In how many days can both do it together?
Three workers
Three people - A, B, C . A and B can do a piece of work in 18 days, B and C can do it in 24 days, A and C can do it in 36 days.In how many days B alone can finish the work?
A contractor 2
A contractor has to complete his contract in 92 days. 234 men were set to do the work, each of them works for 16 hours/day. After 66 days, 4/7 of the work is completed. How many additional men may be employed, so that the work may be completed in time, ea
Work men and women
Two men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man get 90 euros/day, what should be the wages/day of a woman?
Two workers 10
Worker P can do a work 3 times faster than Q and therefore takes 40 days less than Q.Find the time in which P and Q can complete the work individually.
Three 268
Three taps A, B and C fill a tank in 20 min, 15 min and 12 min, respectively. If all the taps are opened simultaneously, how long will they take to fill 40% of the tank?
One combine
One combine harvester can harvest a field of corn in 4.5 hours. Another harvester can harvest the same field in 3 hrs. If the farmer uses the two harvesters at the same time. How long will it take to harvest the entire field?
A tank 2
A tank can be filled by a pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?

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