Question

three men can do a piece of work in 4 days how many men can finish it in 3 days​

Answer 1

Answer⤵️⤵️

Let one man's one day's work be x

Let one boy's one day's work be y

According to first condition,

3x+4y=

14

1

.......Equation 1

According to second condition,

4x+6Y=

10

1

.......Equation 2

Multiplying Equation 1 by 4 and Equation 2 by 3,

12x+16y=

14

4

.....Equation 3

12x+18y=

10

3

.....Equation 4

Now solving Equation 3 and 4 simultaneously by substracting Equation 3 by Equation 4,

we get,

∴−2y=

14

4

−

10

3

∴−2y=

140

40−42

∴y=

140

1

Putting the value of y in equation 1, we get,

3x+

140

4

=

14

1

∴x=

70

1

Hence one man's one day work is

70

1

∴ one man completes the whole work in 70 days.