SOLUTION: Hi
one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the
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one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the
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Question 1143847: Hi
one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the job in N days. What is the value of N.
thanks Found 3 solutions by greenestamps, josgarithmetic, ikleyn:Answer by greenestamps(13200) (Show Source):
Working together the whole time, the number of days it would have taken to do the job is
But in the beginning only the first team worked for 1 day, completing 1/10 of the job. Since only 9/10 of the job remains, the number of days it takes the two team together to finish the job is
One team of workers can complete the job in 10 days -- hence, the rate of work of this team is of the job per day.
The other team of workers can complete the job in 8 days -- hence, the rate of work of the other team is of the job per day.
The combined rate of work of two teams working together is = = of the job per day.
After working first day, the first team completed of the job -- hence, of the job remained to do.
Working at the combined rate of the job per day, the two team need = = 4 days to complete the job.
Thus "N", the number of days under the question is 4: N= 4. ANSWER
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