You were contracted to paint the townhouses of a new subdivision in 360 hrs. You were hired 10 painters to do the job. However, the owner of the subdivision wanted painting job finished at an earlier date and requested that you double the number of painters. How long can the new number of painters finish the job?
Answer:
They can finish the job in half the time, 180 hours.
Step-by-step explanation:
Find the rate of the first batch of painters, which we can assume is 1/360. The first batch of painters can paint this fraction of the townhouse in 1 hour.
Since the number of painters is doubled we get,
1/360 + 1/360 = 1/x
Multiply each term by the LCD,
(1/360)360 + (1/360)360 = (1/x)360
1 + 1 = 360/x
2x = 360
Divide each side by 2,
x = 180 hours
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