we know that
1) Mailyn can eat 32 cookies in an hour
1 hour is equal to 60 minutes
Find how cookies eats Mailyn in one minute
by proportion
[tex]\frac{32}{60} \frac{cookies}{minutes}= \frac{x}{1} \frac{cookie}{minutes} \\\\ x=32/60\\x=0.53 \ cookies[/tex]
2) Juan needs 3 hours to eat 32 cookies
Find how cookies eats Juan in one minute
by proportion
[tex]\frac{32}{180} \frac{cookies}{minutes}= \frac{x}{1} \frac{cookie}{minutes} \\\\x=32/180 \\x=0.18\ cookies[/tex]
3) Find how long will it take them to eat 40 cookies together
we know that
Maylin and Juan eats in one minute together ---------> (0.53+0.18)=0.71 cookies
so
by proportion
[tex]\frac{0.71}{1} \frac{cookies}{minutes}= \frac{40}{x} \frac{cookie}{minutes} \\\\0.71*x=40\\x=56.34 \ minutes[/tex]
therefore
the answer is
[tex]56.34\ minutes[/tex]
