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?
1 clerk --- 75 pieces --- 2.5 hours
8 clerak --- 600 pieces --- 2.5 hours
8 clerks --- 1620 pieces ----(1620/600)(2.5) or 6.75 hours
how did u get 600 pieces?
how did u get 1620 pieces?
To solve this problem, we need to find the amount of time it takes for eight clerks to process 1620 pieces of mail.
We know that one clerk can process 75 pieces of mail in 2 and 1/2 hours. To find the rate at which one clerk processes mail, we can calculate the number of pieces of mail processed per hour.
First, we convert 2 and 1/2 hours to a fraction: 2 and 1/2 = 5/2 hours.
Next, we divide the number of pieces of mail processed (75) by the time taken (5/2 hours) to find the rate per hour: 75 / (5/2) = 75 * (2/5) = 150/5 = 30 pieces of mail per hour.
Now that we know the rate at which one clerk processes mail (30 pieces per hour), we can calculate the total time it would take for eight clerks to process 1620 pieces of mail using the same rate.
To find the time, we divide the total number of pieces of mail (1620) by the rate at which eight clerks process mail (30 pieces per hour):
1620 / (30 * 8) = 1620 / 240 = 6.75 hours.
Therefore, it would take eight clerks approximately 6.75 hours to process 1620 pieces of mail if all of them work at the same rate.