Question

A can do apiece of work in 24 hours while B can do it in 16 days.If A,B and C working together can finish it in 8 hours how many hours can C alone finish the work ​

Answer 1

Step-by-step explanation:

B can do a piece of work in 16 hours. A, B and C working together can finish it in 8 hours. Let C can do a piece of work in x hours. Therefore, C can do a piece of work in 48 hours.

Answer 2

${ \underline{\underline{ \red{ \bf{Your \: Question:}}}}}$

A can do apiece of work in 24 hours while B can do it in 16 days.If A,B and C working together can finish it in 8 hours how many hours can C alone finish the work?

${ \underline{\underline{ \green{ \bf{Required \: answer:}}}}}$

${ \underline{\underline{ \blue{ \bf{Given:}}}}}$

A's 1 day work = 1/24 hrs

B's 1 day work = 1/16 hrs

${ \underline{\underline{ \blue{ \bf{According \: to \: question:}}}}}$

A + B + C = 8 hrs

1/24 + 1/16 + C = 8

$\LARGE{ \red{ \bf{L.C.M.=48cm}}}$

${ \underline{\underline{ \blue{ \bf{So,}}}}}$

2 + 3 + 48C / 48 = 8

5 + 48C = 8 x 48

5 + 48C = 384

48C = 384 - 5

48C = 379

$\LARGE{ \red{ \bf{C = 7.8 hrs \: Ans }}}$