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 5 painters in 19 days. If 20 more painters join the team 9 days after starting work on the job, then how many more days are required to complete the job?
Answer: 2

Solution:

Total effort required by 5 painters for 19 days = 5 × 19 = 95 man-days.

Initial effort by 5 painters for 9 days = 5 × 9 = 45 man-days.

Job still requires 95 − 45 = 50 man-days, and there are 25 painters available to do it.

Additional effort required by 25 painters for 50 man-days = 50 / 25 = 2 days.

Thus, 2 more days are required to complete the painting job.

Alternative Shorter Solution:

5 painters require 19 − 9 = 10 more days to complete the job.
Therefore, 5 + 20 = 25 painters will require 10 × 5 / 25 = 2 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 © 1999-2021 Syvum Technologies Inc. Privacy Policy Disclaimer and Copyright
Previous
-
Next
-