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Puzzles & Brain Teasers
Painting Job
7
Solution:
Total effort required by 5 painters for 20 days = 5 × 20 = 100 man-days.
Initial effort by 5 painters for 6 days = 5 × 6 = 30 man-days.
Job still requires 100 − 30 = 70 man-days, and there are 10 painters available to do it.
Additional effort required by 10 painters for 70 man-days = 70 / 10 = 7 days.
Thus, 7 more days are required to complete the painting job.
Alternative Shorter Solution:
5 painters require 20 − 6 = 14 more days to complete the job.
Therefore, 5 + 5 = 10 painters will require 14 × 5 / 10 = 7 more days to complete the job.
Food for thought:
The number of days for the job is inversely proportional to the number of painters. So, is 'number of days × number of painters = constant'?
What assumptions were made to arrive at the solution?
Is something assumed about the output of the painters?
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