A and C together can complete a work in 120 days, C and E together can complete the same work in 80 days and A and E together can complete the same work in 160 days. In how many days A, C and E together can complete the same work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 960/13 days.
| Understanding/Application |
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A and C can together complete a work in days = 120 C and E can complete a work together in days = 80 A and E together complete a work in days = 160 Efficiency = Total work/Number of days |
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Let the total number of work be L.C.M of 120, 80 and 160 = 480 units Efficiency of A and C together = 480/120 = 4 units/day Efficiency of C and E together = 480/80 = 6 units/day Efficiency of A and E together = 480/160 = 3 units/day Efficiency of A, C and E together = (4 + 6 + 3)/2 = 13/2 A, C and E can together complete work in days = 480/(13/2) = 960/13 |