Math, asked by vishaln4689, 1 year ago

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 ?

Answers

Answered by zahangirabid121
0
There is a mistake in the math..
Answered by amikkr
0

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\frac{2}{3} 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,

\frac{x}{15} + \frac{4}{20} + \frac{x-3}{40} = 1

8x+24+3(x-3) = 120

11x = 105

x = 105/11

x = 9\frac{2}{3} days.

  • The number of days in which the work will be completed is 9\frac{2}{3} days.
Similar questions