1.

7. Work done by A in one day isfour times the work done by Bin one day, while the workdone by B in one day is one-third of the work done by C inone day. C alone can completethe work in 16 days. In howmany days can all the threetogether complete the work?​

Answer»

AnswEr:

They together can complete the work in 6 Days.

Given:

• Work Done by A is Four Times the work Done by B.

So, A = 4B

• Work Done by B is ONE third the work Done by C.

So, C = 3B

A : B = 4 : 1 & B : C = 1 : 3

\rule{200}2

C can complete the work in 16 Days. [Given]

RATIO of work of A,B & C in 1 day.

A: B: C = 4: 1 :3

Work Done by C in 16 Days

= 3 × 16

= 48

Now, Time Taken by All three (A,B & C) to complete the work

:\implies\sf\: \dfrac{4 + 1 + 3}{48}

:\implies\sf\: \dfrac{8}{48}

:\implies\sf\: \bold{6 \: Days}

Hence, All three can complete work together in 6 days.


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