Gail drives 10 miles per hour slower than Dexter. With two more hours of driving time, Gail travels a total of 330 miles, compared to Dexter who travels 260 miles. Find the speed and time traveled for each.

I would appreciate any help. Thank you so much.

2. Originally Posted by IrishBecca

Gail drives 10 miles per hour slower than Dexter. With two more hours of driving time, Gail travels a total of 330 miles, compared to Dexter who travels 260 miles. Find the speed and time traveled for each.

I would appreciate any help. Thank you so much.
Hi IrishBecca,

Ok, let's set it up.

Let r = Dexter's rate
Let t = Dexter's time
Let 260 = Dexter's distance

Let r - 10 = Gail's rate
Let t + 2 = Gail's time
Let 330 = Gail's distance

D = rt

(1) $\displaystyle rt=260$

(2) $\displaystyle (r-10)(t+2)=330$
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(1) $\displaystyle r=\frac{260}{t}$

(2) $\displaystyle \left(\frac{260}{t}-10\right)\left(t+2\right)=330$

Solve (2) for t, then substitute back into (1) to find r.

3. Masters, thank you so much for your help! I really appreciate it!!