SOLUTION: lydia takes 10 mins more to complete an illustration than tom. the total time taken by both of them is 6hrs. how much time did each required?

Question 305282: lydia takes 10 mins more to complete an illustration than tom. the total time taken by both of them is 6hrs. how much time did each required?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
lydia takes 10 mins more to complete an illustration than tom.
the total time taken by both of them is 6hrs.
how much time did each required?
:
Change 6 hr to 360 minutes
:
Let t = tom's time alone (in minutes)
then
(t+10) = Lydia's time alone
:
Let the complete job = 1
:
A typical shared work equation
+ = 1
multiply equation by t(t+10), resulting in
360(t+10) + 360t = t(t+10)
:
360t + 3600 + 360t = t^2 + 10t
:
720t + 3600 = t^2 + 10t
Arrange as a quadratic equation
0 = t^2 + 10t - 720t + 3600
:
t^2 - 710t + 3600 = 0
use the quadratic formula, only one solution will be reasonable
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