Working 5 hours a day, A can complete a piece of work in 8 days and working 6 hours a day B can complete the same work in 10 days. Working 8 hours a day both of them can complete the work in ____.
1). 3 days
2). 4 days
3). 4.5 days
4). 5.4 days
Given,
A can complete the work in hours = 5 × 8 = 40 hours
B can complete the work in hours = 6 × 10 = 60 hours
A's 1 hour's work = 1/40
B's 1 hour's work = 1/60
(A + B)’s 1 hour's work = (1/40) + (1/60) = 1/24
Both will finish work in 24 days.
Number of days of 8 hours a day = 24 × 1/8 = 3
∴ They require 3 days to complete the work.