Question 160947
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