Question
'Sumit' can complete (3/8) of a job in 24 days, where as
'Sumit' and 'Tarun' together can finish it in 16 days. Calculate the time 'Tarun' needs to complete 60% of the job alone.Solution
ATQ, Time taken by 'Sumit' to complete the whole job alone = 24×( 8/3) = 64 days Let the total amount of work = LCM of 64 and 16 = 64 units Efficiency of 'Sumit' =64/64 = 1 units per day Efficiency of (Sumit + Tarun) = 64/16 = 4 units per day Efficiency of 'Tarun' = 4 − 1 = 3 units per day Desired time = (0.60 × 64/3) = 12.8 days
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