SOLUTION: A project requires three engineers working together for 15 days. After working for 5 days, extra two engineers join into the team. How many days are anticipated to finish the rest

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Question 1069992: A project requires three engineers working together for 15 days. After working for 5 days, extra two engineers join into the team. How many days are anticipated to finish the rest of the project?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The complete job requires 3%2A15=45eng-days.
After 5 days, the engineers have only completed 3%2A5=15eng-days.
So the 5 engineers will need 30eng-days to complete.
That will require an additional 30%2F5=6days

Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.
A project requires three engineers working together for 15 days. After working for 5 days, extra two engineers join into the team.
How many days are anticipated to finish the rest of the project?
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After working for 5 days, the three engineers completed 1%2F3 of the job, and 2%2F3 remains to complete.


Now we have 5 engineers, the rate of each is 1%2F%283%2A15%29 = 1%2F45.


They will complete the remaining 2%2F3 of the job in 2%2F3 : 5%2F45 = %28%282%2F3%29%29%2F%28%285%2F45%29%29 = %282%2A45%29%2F%283%2A5%29 = 90%2F15 = 6 days.


Answer.  6 days.