Rate problem

Main Question or Discussion Point

Suppose it takes 48 women 16 days to do the same job that it takes 16 men to do in 24 days. If 10 men started working on the job and worked for 5 hours, then all 48 women joined them. how long would it take them working together to finish the job?

i know i have to find the rates so i have

48/16= 3 women/day

16/24= 2/3 men/day

i am just having trouble knowing what to do with the fact that 10 men started working BEFORE the women joined. i could this problem easily if they both started working at the same time.

thanks

Last edited:

Homework Helper
Suppose it takes 48 women 16 days to do the same job that it takes 16 men to do in 24 days. If 10 men started working on the job and worked for 5 hours, then all 48 women joined them. how long would it take them working together to finish the job?

i know i have to find the rates so i have

48/16= 3 women/day

16/24= 2/3 men/day
What do you mean by '48/16= 3 women/day'? It takes 48 women one day to do 1/16 of the job, right? Further on, it takes 16 men one day to do 1/24 of the job. See what you can do with that.

im still confused. i understand what you said.
i know 1/t1 + 1/t2 = 1/t total