Question 791470
Jessica drove west at an average speed of 41 mph. Paul left from the same point in the opposite direction with an average speed of 46 mph. after Jessica had driven for 5 hours they were 389 miles apart. what is the number of hours Paul drove?

Jessica speed = 41 mph
Jessica travels 41*5 = 205 miles in 5 hours.

That is the time Paul starts

They are 389 miles away after x hours of paul starting

But Jessica had already traveled 205 niles
difference = 389-205 = 184 miles . they drove together

combined speed = 41+46 = 87 mph
distance = 184 miles

so time taken to be that far away = 184/87

= 2.11 hours

Paul drives 2.11 hours