L ,m and n can do a certain piece of work in 15,20 and 40 days respectively.They started the work together . M left the work after 4 days of starting and p left the work before 3 days of the completion.In how many days the will be completed ?
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There is a mistake in the math..
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Complete question is :
L, M, and P can do a certain piece of work in 15, 20, and 40 days, respectively. They started the work together. M left the work after 4 days of starting and P left the work before 3 days of completion. In how many days will the work be completed?
The work will be completed in 9 days.
- L, m and p can do a piece of work in 15,20 and 40 days respectively.
- Now,
The amount of work L can do in 1 day is 1/15.
The amount of work M can do in 1 day is 1/20.
The amount of work N can do in 1 day is 1/40.
- Now, all started working together .
- Let the total number of days that the work took to be complete be x.
- Now,
M left the work after 4 days of starting and p left the work before 3 days of the completion
- According to the given condition,
+ + = 1
8x+24+3(x-3) = 120
11x = 105
x = 105/11
x = 9 days.
- The number of days in which the work will be completed is 9 days.
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