A can do a piece of work in 40 days. He works at it for 10 days, and then B alone finishes the remaining work in 45 days. In how many days will A and B working together finish 75% of the same work?
18
A's rate is 1/40 per day, so in 10 days A finishes 1/4 of the work, leaving 3/4. B finishes this 3/4 in 45 days, so B alone would take 60 days for the whole work, giving B's rate as 1/60. Combined rate = 1/40 + 1/60 = 1/24 per day, so 75% of the work takes 0.75 × 24 = 18 days.
Similar Questions
A completes 80% of a work in 20 days. Then B joins A and they complete the remaining work in 3 days. How long will B alone take to complete the whole work?
84 men can complete a work in 30 days. After 15 days, more men were engaged, and the work was completed in 5 days ahead of schedule. How many more people were engaged in total?
Important Questions from Time and Work
A and B can do a piece of work in 18 days. B and C together can do it in 30 days. If A is twice as good a workman as C, find in how many days B alone can do the work?
Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women can do the same work in 11 days. In how many days will 5 men and 4 women, working together, complete the same work?
A man and a woman, working together can do a work in 66 days. The ratio of their working efficiencies is 3 ∶ 2. In how many days 6 men and 2 women together can do the same work?
Each one of five men independently can complete a work in 20 days. The work is started by one person. Next day one more person joins and every next day one more person joins. From the fifth day, five persons continued working as a team. In how many days, will the work be completed?
Numan does half the work as Gagan in 4/5 of the time. If together they take 16 days to complete a piece of work, then how long will it take Gagan to complete the work?
