The Ratio of the Efficiency of A B amp C is 4 6 3 Together they can complete a work in 8 days In how...........

Quantitative Aptitude(IBPS CL) Time and work

The Ratio of the Efficiency of A, B & C is 4 : 6 : 3 . Together they can complete a work in 8 days. In how many days A can complete the 3/4th of the same work?

$19\frac{1}{2}$

$16\frac{2}{3} days$

$15\frac{1}{2} days$

$21\frac{3}{4} days$

None of these

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Explanation:

Let the number of units of work done by A, B and C on each day be 4, 6 and 3 respectively.
Thus, total work = (4 + 6 + 3) × 8 = 104 units
Work to be done by A =3/4 x 104 = 78 units
Required time =78/4 = 19 (1/2) days