Answer:
Each will have passed 17 tests and it will take 3 weeks.

Explanation: 
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

Setting these equal, we have: 
11+2x=2+5x.

Subtract 2x from each side: 
11+2x-2x=2+5x-2x;
11=2+3x.

Subtract 2 from each side: 
11-2=2+3x-2;
9=3x.

Divide both sides by 3:
 $\frac{9}{3} = \frac{3x}{3}$ ;
3=x.

It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.

6 0

3 years ago

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