Question
105 people could complete a work in 36 days. But after
they worked together for 8 days their employer wanted that the work should be completed in a total of 29 days. How many more workers need to be employed to meet the deadline?Solution
Let the efficiency of each worker be X. Now, the total work = 105 × X x 36. Let Y number of workers need to be employed to get the work done in 29 days. Work done in 8 days = 105 × X x 8 = 840X Remaining days = 29-8 =21 days Work done in 21 days = (105 + Y) x X × 21 According to the concept, 105 x X x 36 = 840X+ (105 + Y) × X × 21 105 x 36 = 840 + (105 + Y) x 21 3780=840 + 2205 + 21Y 21Y=735 Y = 735/21 Y = 35 35 more workers need to be employed to meet the deadline.
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