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Mathematics 16 Online
OpenStudy (anonymous):

Jack mows his lawn in 5 hours Marilyn in 3 hours, how long will it take to mow the lawn if they work togethe? /

OpenStudy (anonymous):

4 hours

OpenStudy (anonymous):

do you like to know how to get that?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Yup, you find the mean of those two numbers. (5 + 3)/2

OpenStudy (anonymous):

Jack mows his lawn in 5 hours Marilyn in 3 hours, how long will it take to mow the lawn if they work togethe? so in 1 hour, Jack can do 1/5 of the job, Marilyn can do 1/3 of the job

OpenStudy (anonymous):

(1/5 + 1/3)h=1 find h

OpenStudy (jamesj):

Actually, 4 hours is wrong. The way to think about it is rates. Jack mows at a rate of 1/5 of a lawn per hour; Marilyn at 1/3 of a lawn per hour. Hence together, they mow at (1/5 + 1/3) of a lawn per hour i.e., 8/15 lawn per hour Thus their combined time is 15/8 hours, or just under 2 hours.

hero (hero):

\[\frac{5+3}{5 \dot\ 3} \]

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