A can finish a work in 24 days, B in 9 days and C in 12 days. B & C start the work but are forced to leave after 3 days. The remaining work done by A in:
Question
A can finish a work in 24 days, B in 9 days and C in 12 days. B & C start the work but are forced to leave after 3 days. The remaining work done by A in:
Solution
Sure, let's solve this step by step:
-
First, we need to find out the one day work of A, B, and C. A's one day work = 1/24 B's one day work = 1/9 C's one day work = 1/12
-
B and C worked together for 3 days. So, their combined 3 days work = 3 * (B's one day work + C's one day work) = 3 * ((1/9) + (1/12)) = 1/4
-
The remaining work after B and C left = 1 - (B and C's 3 days work) = 1 - 1/4 = 3/4
-
Now, this remaining work is done by A. So, the time taken by A to finish the remaining work = Remaining work / A's one day work = (3/4) / (1/24) = 18 days
So, A will take 18 days to finish the remaining work.
Similar Questions
A, B and C can do a piece of work in 11, 20 and 55 days respectively. In how many days work will be finished if A is assisted by B and C on alternative day
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?a. 6 daysb. 4 daysc. 5 daysd. 3.75 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, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A can do a work in 15 days and B in 20 days. In how many days will they work together to finish the work
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.