A can do a piece of work in 80 days. He works on it for 10 days and then B alone finishes the remaining work in 42 days. In how much time will A and B working together, finish the work?A 40 days B 30 days C 60 days D 50 days
Question
A can do a piece of work in 80 days. He works on it for 10 days and then B alone finishes the remaining work in 42 days. In how much time will A and B working together, finish the work?A 40 days B 30 days C 60 days D 50 days
Solution
To solve this problem, we first need to determine the rates at which A and B can complete the work.
-
A can complete the work in 80 days. Therefore, A's work rate is 1/80 of the work per day.
-
A worked for 10 days, so he completed 10 * (1/80) = 1/8 of the work.
-
The remaining work (1 - 1/8 = 7/8) is completed by B in 42 days. Therefore, B's work rate is (7/8) / 42 = 1/48 of the work per day.
-
If A and B work together, their combined work rate is (1/80) + (1/48) = 1/30 of the work per day.
-
Therefore, A and B together can finish the work in 30 days.
So, the answer is B. 30 days.
Similar Questions
A can do a work in 40 days and B in 28 days. In how many days will both A and B complete the same work by working together? Mark the approximate answer.A14 daysB10 daysC16 daysD20 days
A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A left after some days and B finished the remaining work in 23 days. A left after
A and B together can complete a piece of work in 35 days, while A alone can complete it in 60 days. So, B alone can complete the work in how many days?
A and B can do a piece of work in 20 days, B and C can do it in 60 days. If B alone can do it in 90 days, in how many days will A and C do it together?
A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.40
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.