A B and C can individually complete a piece of work in 24 days 15 days and 12 days respectively B an...........

Quantitative Aptitude (CGL) Time and work

A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days,respectively. B and C started the work

and worked for 3 days and left. The number of days required by A alone to complete the remaining work, is:

This questions was previously asked in

SSC CGL 3rd March 2020 Shift-1

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$15_{2}^{1}$

$13_{5}^{1}$

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Explanation:

Let the total work be 120 units.
LCM of 24, 15 and 12 is 120.)
Efficiency of A = work/time = 120/24 = 5 units/day
Efficiency of B = 120/15 = 8 units/day
Efficiency of C = 120/12 = 10 units/day
Work done by B and C in 3 days = (8 + 10) 3 = 54 units
Remaining work = 120 - 54 = 66 units
Time taken by A to complete the remaining work = 66/5 = 13 1/5

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