Three workshops

One workshop can complete the task in 48 days, the second in 30 days and the third in 20 days. In how many days would the task be completed if all workshops worked?

Correct answer:

t =  9.6 d

Step-by-step explanation:

$$\begin{gathered} t_1=48 \\ {t}_2=30 \\ {t}_3=20 \\ t\cdot (1\mathrm{/}{t}_1+1\mathrm{/}{t}_2+1\mathrm{/}{t}_3)=1 \\ t\cdot (1\mathrm{/}48+1\mathrm{/}30+1\mathrm{/}20)=1 \\ 25t=240 \\ t={\displaystyle \frac{48}{5}}=9.6={\displaystyle \frac{48}{5}}\text{ d}=9.6\text{ d} \end{gathered}$$

Try another example

Related math problems and questions:

• Three workers
  Three workers A, B, C have to work on a specific task. Workers A and B completed whole task in 14 days, B together with C for 23 days, A together with C for 13 days. How long it would take to complete the task every one of them alone? How long it would ta
• Two companies
  The family ordered two companies to modify the garden. The first would be done in 20 days, the second would take 40% less time. How long will they work together if the second company started working when the first worked for 4 days?
• Working together
  Two people will do the work in 12 days. They worked together for 8 days. Then only one worked for 10 days. How many days would each of them do the work if he worked alone?
• Workshops
  The plant has three workshops. In the first workshop, produce 5 products/hour, in the second 8 products/hour, and in the third 7 products/hour. In the first workshop, they produced 240 products, in the second 400 and the third 350 products. Find the avera
• Two workers
  One worker needs 40 hours to do a job, and the second would do it in 30 hours. They worked together for several hours, then the second was recalled, and the first completed the job itself in 5 hours. How many hours did they work together, and how much did
• Three workshops
  There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
• Mason with assistant
  Mason had to complete the work in 10 days. Two and a half days later, his assistant arrived. Together they completed the work in the next three and a half days. How many days would he need an assistant for the same work?
• Mukls
  The working group, in which 6 workers would ordered job completed within 21 working days. How many workers must be accept yet that the contract will be completed in 14 working days?
• Trucks
  Truck take you the some amount of clay in 30 hours. Second truck in 40 hours. Trucks carted the clay away some time together then the second truck broke down and the first one completed the job in five hours. What time worked together?
• Three painters
  One painter would have painted the fence for 15 hours, the second in 12 hours. The plot had to be painted in four hours, so they called the third one, and all worked together. For what time would the third painter paint fence the fence alone?
• Two workers
  Two workers should fulfill certain task together for 5 days. If the first worker increased their performance twice and second twice fell, it took them just four days. For how many days would handle the entire task first worker himself?
• Painting rooms
  If Dano paints three hours daily, he complete in 7.5 days. How many hours a day would have to work to finish the job 1.5 days earlier?
• Two workers
  Two workers together execute some work in 10 days. The first worker would have done himself in 20 days. How many days would have done himself a second worker?
• Road repair
  Road repair took 10 days for 36 workers if they worked 9 hours a day. How many days take repair same road 37 workers if they work 8 per day?
• Forestry workers
  In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day?
• The factory
  The factory z can complete an order in 12 days, factory p in 18 days. How many days does an order completed when the first two days work only the factory z and then both factories?
• Repair pipe
  20 workers had to repair broken pipes in 30 days. After fourteen days, four laborers joined them. How long did the pipe repair work last?