A is thrice as efficient as B and therefore able to finish a work in 80 days less than B. Find the time in which they can do it working together. (a) 30 day (b) 20 days (c) 24 days (d) 25 days (e) None of these
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1st method:
A and B complete a work in = 15 days
One day's work of (A + B) = 115
B complete the work in = 20 days;
One day's work of B = 120
Then, A's one day's work
=115−120=4−36=160
Thus, A can complete the work in = 60 days.
2nd method:
(A + B)'s one day's % work = 10015
= 6.66%
B's one day's % work = 10020
= 5%
A's one day's % work = 6.66 - 5 = 1.66%
Thus, A need = 1001.66
= 60 days to complete the work
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