Question

Acan finish a work in 24 days b in 9 days and c in 12 daysb and c started the work but we're forced to leave in 3 day the time taken by a to complete the remaining work is​

Answer 1

Answer:

7 days

Step-by-step explanation:

assume the time taken by all to complete the work is x days

from the given data we can say that A's 1 day work is 1/24

B's 1 day work is 1/9 and C's 1 day work is 1/12

thus

$\frac{x}{24}$ + $\frac{3}{9}$ + $\frac{3}{12}$ = 1

solving by taking the LCM

$\frac{3x + 24 + 18}{72}$  = 1

3x = 72 - 42

3x = 30

x = 10

therefore the time taken by A to complete the remaining work is 10 - 3 = 7 days.

Nice question btw! Hope this helps!