A can do three-seventh of a work in 15 days and B can do two-fifth of the same work in 14 days. If A and B work together, then how long (in days) will they take to complete the work?
The correct answer is 17\frac{1}{2}.
Efficiency: Work rate is often referred to as efficiency. A person with higher efficiency completes more work in the same amount of time. Always ensure you are working with consistent units (e.g., work per day, total work). Fractions of work are converted to full work times by dividing the time taken by the fraction completed.
Similar Questions
A and B can complete a piece of work in 12 days and 18 days, respectively. A begins to do the work and they work alternately, one at a time, for one day each. The whole work will be completed in ________.
Neha is manufacturing plastic lunch boxes for a job. She got a project to manufacture some boxes, out of which she completed \(\frac{{15}}{{23}}\) of the project in 30 days. In how many days did she complete the entire project for the company?
8 men working 9 hours a day complete a piece of work in 20 days. In how many days can 7 men working for 10 hours a day complete the same piece of work?
If 45 men can build a wall of 360 m length in 18 days, then how many men are required to build the same wall of 180 m length in 15 days?
By working 12 hours a day, 90 people can complete a work in 16 days. How much work will be left after 24 days if 70 people work for 8 hours per day?
15 men can complete a work in 15 days, whereas it takes 18 women to complete the work in 15 days. In how many days will 20 men and 9 women, together, complete the work? (Rounded off to complete number of days.)
13 men can complete a work in 7 days. After 3 days, 4 more men joined them. How many days will they now take to complete the remaining work?
Shivam can do a piece of work in 6 days and Vivek in 24 days. They started work together but Shivam left the work 3 days before its completion. In how many days was the work completed?
Ram reads 200 pages at the rate of 70 pages/hour in the morning. In the evening, when he was tired, he read 200 pages at the rate of 30 pages/hour. What was his average rate of reading, in pages per hour?
A certain amount of work can be done by a man, a woman and a boy in 20, 30 and 60 days, respectively. How many boys should be there in order to complete the work in 2 days with 2 men and 8 women?
Important Questions from Work Efficiency
Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work further increased by 50%?
24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
A and B together can do a piece of work in 4 days, B and C can do it in 6 days, A and C can do it in 8 days. Then A, B and C together can do the same work in :-
A can complete 50% of a work in 9 days and B can do 25% of the work in 9 days, if they work alone. If they work together then how much work (in percentage) can be completed in 6 days?
