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?
:
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
{{{360/t}}} + {{{360/((t+10))}}} = 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