SOLUTION: lydia takes ten minutes morwe to complete an illustration than tom. the total time taken by both of them is six hours. how much time did each of them require?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: lydia takes ten minutes morwe to complete an illustration than tom. the total time taken by both of them is six hours. how much time did each of them require?      Log On


   



Question 160947: lydia takes ten minutes morwe to complete an illustration than tom. the total time taken by both of them is six hours. how much time did each of them require?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount of time it takes Tom to complete an illustration
Then x+(1/6)= amount of time it takes Lydia (We'll deal in hours---10 min=1/6 hour)
Now we are told that:
x+x+ 1/6=6 myltiply each term by (6)
6x+6x+1=36 subtract 1 from each side
6x+6x+1-1=36-1 collect like terms
12x=35 divide each side bu 12
x=2 11/12 hr---------------------------------Amount of time required by Tom
x+1/6=2 11/12 + 1/6=2 11/12 + 2/12= 3 1/12 hr---Amount of time required by Lydia
CK
(2 11/12)+(3 1/12)=6
6=6

Hope this helps---ptaylor