Homework SourseZeno takes 20 min longer to decorate a dozen cupcakes than i
Zeno takes 20 min longer to decorate a dozen cupcakes than it takes Lia. When they work together, it takes them 49.5 min. How long would each take to do the job alone?
Zeno takes 20 min longer to decorate a dozen cupcakes than it takes Lia. When they work together, it takes them 49.5 min. How long would each take to do the job alone?
Zeno takes 20 min longer to decorate a dozen cupcakes than it takes Lia. When they work together, it takes them 49.5 min. How long would each take to do the job alone?
Solution
Time taken by Lia t1 = X
Time taken by Zeno t2 = X + 20
When they work together total time will be calculated by.
t1*t2/(t1 + t2) = t
X*(X + 20)/(X + X + 20) = 49.5
X^2 + 20X = 99X + 990
X^2 - 79X - 990 = 0
Solving this equation gives,
X = 90 min
t1 = 90 min
t2 = 90 + 20 = 110 min
