Question
‘G’ and ‘H’ can complete an assignment in 60
days, while ‘H’ and ‘I’ can complete it in 45 days. ‘G’ and ‘H’ worked together on it for 50 days, after which ‘I’ alone finished the remaining work in 12 days. If ‘G’, ‘H’, and ‘I’ commenced an assignment and worked jointly till completion, earning a total of Rs. 1650 in wages, then the share of ‘G’ will be:Solution
Total work = LCM of 60 and 45 = 180 units Work done by ‘G’ and ‘H’ per day = 180/60 = 3 units Work done by ‘H’ and ‘I’ per day = 180/45 = 4 units Work done by ‘G’ and ‘H’ in 50 days = 50 × 3 = 150 units Remaining work = 180 - 150 = 30 units Efficiency of ‘I’ = 30/12 = 2.5 units per day Efficiency of ‘H’ = 4 - 2.5 = 1.5 units per day Efficiency of ‘G’ = 3 - 1.5 = 1.5 units per day Share of ‘G’ = (1.5 / (1.5 + 1.5 + 2.5)) × 1650 = Rs 450
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