Question

plz solve this question stepwise​

Answer 1

Answer:

30 days

Step-by-step explanation:

Let Ganesh himself complete the work in "g" days, then John himself complete the work in (g - 10) days. Both they complete the work in 12 days.

Ganesh's efficiency is $\frac{1}{g}$

John's efficiency is $\frac{1}{g-10}$

An efficiency of the team work is $\frac{1}{12}$

$\frac{1}{g}$ + $\frac{1}{g-10}$ = $\frac{1}{12}$

$\frac{g-10+g}{g(g-10)}$ = $\frac{1}{12}$

g(g - 10) = 12(2g - 10)

g² - 10g = 24g - 120

g² - 34g + 120 = 0

$g_{1}$ = (34 - 26) / 2 = 4 (It's a solution for equation, but not a solution for task!)

$g_{2}$ = (34 + 26) / 2 = 30 days

Thus, Ganesh alone can complete the work in 30 days.