Question
Manoj can complete a work in 15 days working 8 hours in
a day and Santosh can complete it in 10 days working 9 hours in a day. If Manoj and Santosh together start working for 6 hours per day, in how many days will they complete the work?Solution
Let the efficiency of Manoj be M and that of Santosh be S. Total work to be done (according to Manoj) = 15 × M × 8 Total work to be done (according to Santosh) = 10 × S × 9 Work done by both are the same, => 15 × M × 8 = 10 × S × 9 => M/S = 3/4 Let the efficiency of Manoj and Santosh be 3 and 4 respectively. Working together, total efficiency = 3 + 4 = 7 Let them finish the work by D days. Total work to be done = 15 × M × 8 = 15 × 3 × 8 => 7 × D × 6 = 15 × 3 × 8 Time taken = 360/42 = 8 (4/7) days
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