Syvum Home Page

Home > Math Puzzles & Brain Teasers > Print Preview

Math Puzzles & Brain Teasers


Painting Job

View Puzzle Solve Puzzle

Hide all answers   View all answers   Print   Try the Quiz

A painting job can be completed by 8 painters in 35 days. If 24 more painters join the team 3 days after starting work on the job, then how many more days are required to complete the job?
Answer: 8

Solution:

Total effort required by 8 painters for 35 days = 8 × 35 = 280 man-days.

Initial effort by 8 painters for 3 days = 8 × 3 = 24 man-days.

Job still requires 280 − 24 = 256 man-days, and there are 32 painters available to do it.

Additional effort required by 32 painters for 256 man-days = 256 / 32 = 8 days.

Thus, 8 more days are required to complete the painting job.

Alternative Shorter Solution:

8 painters require 35 − 3 = 32 more days to complete the job.
Therefore, 8 + 24 = 32 painters will require 32 × 8 / 32 = 8 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?

  Try the Quiz :     Puzzles & Brain Teasers : Painting Job

puzzle : image for paint

Contact Info © 1999-2019 Syvum Technologies Inc. Privacy Policy Disclaimer and Copyright
Previous
-
Next
-