x,y,z can complete work in 7,14 and 28 respectively they together can complete the work in
Answers
Step-by-step explanation:
first add all the three numbers =7+14+28
second divide the sum by three =49/3
Given:
X, Y, Z can complete the work in 7, 14, and 28 days, respectively
To find:
The time that was taken to complete the work together
Solution:
We can find the solution by following the given process-
We know that the total amount of work done is the L.C.M of 7, 14, and 28.
L.C.M of 7, 14, 28= 28 units
X completes the work in 7 days.
So, X's output per day=28/7= 4 units
Similarly, Y's output per day=28/14= 2 units
Z's output per day= 28/28= 1 unit
The total amount of work done in 1 day= X's output per day+Y's output per day+Z's output per day
=4+2+1
= 7 units
When X, Y, and Z are working together, total work done in 1 day= 7 units
So, the time that is taken to finish 28 units=28/7
= 4 days
Therefore, X, Y, Z can complete the work in 4 days if they work together.