Time and Work Practice Test 1 with solutions

Question : 26 of 40

Marks: +1, -0

A is twice as good a workman as B and thrice as good a workman as C. If C alone can do a piece of work in 24 days, how long would the three persons take to finish the work working together?

$3 3/{11}$ days
$4 4/7$ days
$4 4/{11}$ days
$3 4/{11}$ days

Validate

Solution:

Here, ratio of efficiency of A, B and C = 1 :

1/2 : 1/3

So, ratio of their time taken to complete the work = 1 : 2 : 3
Now C completes the work in 24 days, so A and B will complete the work in 8 and 16 days respectively.
Hence, (A + B + C)'s 1 day's work =

1/8 + 1/{16}+1/{24}

{11}/{48}

Therefore, (A + B + C) will complete the work in

{48}/{11}

4 4/{11}

days.

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