• Apr 22nd 2009, 08:29 AM
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. (Nod)
• Apr 22nd 2009, 08:52 AM
masters
Quote:

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. (Nod)

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) $\displaystyle (r-10)(t+2)=330$
------------------------------------------

(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.

• Apr 23rd 2009, 04:53 AM
IrishBecca
Masters, thank you so much for your help! I really appreciate it!! :)