Paul and charlene are 420 miles apart. they start toward each other with paul driving 16 mph faster than charlene. they meet in 5 hours. find charlene's speed.

34 mph.    

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.  

Now we will use formula . Upon using our given information we will get two equation and two unknowns as:  

Upon substituting in 1st equation we will get,

Upon multiplying both sides of our equation by 5 we will get,

Upon substituting y=170 in 2nd equation we will get,

Therefore, Charlene's speed is 34 miles per hour.