if 7 men can do a job in six days. how many men can do the work in 3 days
Answer (1)
Answer:14 menStep-by-step explanation:We will assume that these men work at the same pace on all jobs. Let's calculate a rate, Jobs/man*day. We are told that 7 men can complete 1 job in 6 days. The rate would be: Jobs = 1 Time = 7 men over 6 days or 42 man*daysThe rate is (1 Job)/(42 man*days)The relationship between jobs, men and days is: Jobs = Rate*Men*Days How many men can do the 1 job in 3 days may be calculated by entering the information into the above equation: Jobs = Rate*Men*Days Jobs = 1 Rate = (1 Job)/(42 man*days) Days = 3 Men = the unknown, which we'll call x here. Jobs = Rate*Men*Days Jobs = Rate*x*Days 1 Job = [(1 Job)/(42 man*days)]*x*(3 days) Let's cancel units, where possible 1 Job = [(1 Job)/(42 man*days)]*x*(3 days) 1 = [(1 )/(42 man]*x*(3) x = 14 men
