Answer:
Step-by-step explanation:
The answer is 7x = 6(x + 15)
x - Jim's rate
y - Pete's rate
<span>Jim completed half the floor in 7 hours: 7x = half of the floor
</span><span>Pete completed the other half of the floor in 6 hours: 6y = half of the floor
So: 7x = 6y
</span><span>Pete can lay 15 more tiles per hour than Jim: y = x + 15
</span>7x = 6y
y = x + 15
Substitute the second equation into the first one:
7x = 6(x + 15)
Make use of the known limit,
We have
since 
, and the limit of a product is the same as the product of limits.
is continuous at 
, and 
. The remaining limit is also 1, since
so the overall limit is 1.
