Question

x,y,z can complete work in 7,14 and 28 respectively they together can complete the work in​

Answer 1

Step-by-step explanation:

first add all the three numbers =7+14+28

second divide the sum by three =49/3

Answer 2

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.