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Question 58

A team of workers was employed by a contractor who undertook to finish 360 pieces of an article in a certain number of days. Making four more pieces per day than was planned, they could complete the job a day ahead of schedule. How many days did they take to complete the job ?

Solution

let number of articles produced per day be x and number of days be d.

dx = 360 (1)

now, (d-1)*(4+x) = 360

4d + xd -4 -x = 360

4d + xd -x = 364

4d - x = 364 - 360 = 4

4d -x = 4 (2)

Solving equations 1 and 2, we get

d = 10 days.

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