Question
Mathematics Question on Time and Work
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 ?
A
10 days
B
8 days
C
9 days
D
12 days
Answer
10 days
Explanation
Solution
Let's take the number of articles produced per day be x and the number of days be d.
dx = 360 – Equation (1)
now,
(d-1) × (4+x) = 360
4d + xd -4 -x = 360
4d + xd -x = 364
4d - x = 364 - 360 = 4
4d -x = 4 – Equation (2)
After solving the equations 1 and 2, we get
d = 10 days.
The correct option is (A):