Question
P and Q can complete a work in 16 days and 24 days,
respectively. P, Q and R together can complete the work in 8 days. If R get a total wage of Rs. 3360 to complete the work alone, then find the per day wage of R.Solution
Let the total work be LCM of (16, 24 and 8) = 48 units Number of units of work done by P alone in one day = 48/16 = 3 units Number of units of work done by Q alone in one day = 48/24 = 2 units Number of units of work done by P, Q and R together in one day = 48/8 = 6 units Number of units of work done by R alone in one day = 6 – 3 – 2 = 1 unit So, time taken by R alone to complete the work = 48/1 = 48 days So, per day wage of R = 3360/48 = Rs. 70
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