SOLUTION: If one clerk can process 75 pieces of mail in 2 and 1/2 hours, how long will it take eight clerks to process 1620 pieces of mail if all of them work at this same rate?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If one clerk can process 75 pieces of mail in 2 and 1/2 hours, how long will it take eight clerks to process 1620 pieces of mail if all of them work at this same rate?       Log On


   



Question 614442: If one clerk can process 75 pieces of mail in 2 and 1/2 hours, how long will it take eight clerks to process 1620 pieces of mail if all of them work at this same rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1 clerk can process 75 pieces of mail in 2 and 1/2 hours
Note that 2 and 1/2 hours equals 150 minutes (+2.5%2A60+=+150+)
1 clerk can process 1 piece of mail in +150%2F75+=+2+ minutes
1 clerk can process 1620 pieces of mail in +2%2A1620+=+3240+ minutes
8 clerks can process 1620 pieces of mail in +3240%2F8+=+405+ minutes
Notes that +405%2F60+=+6.75+, so the answer is 6 hours and 45 minutes