A B and C can individually complete a task in 24 days 16 days and 32 days respectively If A and C st...........

Quantitative Aptitude (CGL) Time and work

A, B and C can individually complete a task in 24 days,16 days and 32 days respectively. If A and C start the work and worked for 6 days and left, then the number of days required by B to complete the r9emaining task, is

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SSC CGL 9th March 2020 Shift-2

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$17\frac{1}{2}$

$7\frac{1}{2}$

$12\frac{1}{2}$

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Explanation:

Let the total work be 96 units.
( LCM of 24, 16 and 32 is 96.)
Efficiency of A = work/time = 96/24 = 4
Efficiency of B = 96/16 = 6
Efficiency of C = 96/32 = 3
Efficiency of A and C = 4 + 3 = 7
Work done by A and C in 6 days = 7 6 = 42 units
Remaining work = 96 - 42 = 54 units
Time taken by B to complete 54 units work = 54/6 = 9 days

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