Problema Solution
Jean Paul am Marcie can bake a dozen loaves if bread in 3 hours. Working alone, it takes Marcie 2.5 hours longer than Jean Paul to bake this much bread. How long would it take for jean Paul to bake the bread himself
Answer provided by our tutors
let
j = the hours Jean Paul needs to bake the bread himself
m = the hours Marcie needs to bake the bread himself
it takes Marcie 2.5 hours longer than Jean Paul to bake this much bread
m = 2.5 + j
Jean Paul am Marcie can bake a dozen loaves if bread in 3 hours thus their together rate is 12/3 = 4 loaves per hour
1/m + 1/j = 4
plug m = 2.5 + j into 1/m + 1/j = 4
1/(2.5 + j) + 1/j = 4
by solving we find
j = 0.2748 hr
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