Question

If A can do a piece of work in 'x' days and B can do the same punt of work in 'x+16' days. If both working together can do the work in 15 days calculate 'x'

Answer 1

use formula,

when, A can do a piece of work in x days and B can do same piece of work in y days .
then they can do work together in xy/(x+y) days .

now,

A can do a piece of work in x days and B can do a piece of work in (x +16)days

so, they can do together = x(x+16)/(2x+16)

15 = (x^2 + 16x)/(2x +16)

30x + 240 = x^2 + 16x

x^2 -14x -240 =0

x^2 -24x +10x -240 =0

x(x -24) +10(x -24) =0

x = 24, -10

x≠ -10

so, x = 24

Answer 2

Here is the answer.Hope it is clear and pls mark as brainliest answer if it helps!