One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?
Options:
A) 8 miles  B) 12 miles  C) 10 miles  D) 11 miles  E) 14 miles
First, determine how far Adrienne has walked in the one hour. She has walked three miles which means she is three miles ahead of Harold when he sets off. Harold walks at four miles/hour which means that every hour, Harold will get one mile closer to Adrienne. If he gets one mile closer every hour, it will take him three hours to catch up to her which means he travels 3hours * 4 miles/hour = 12 miles and she travels 4 hours * 3 miles/hour = 12 miles. He will be 12 miles from X when he catches up to her.   A slightly different way to solve...   We don't know how long they will walk before they catch up to one another but we do know that A walks for one hour more than J. J = T and A = T+1. We are looking for the distance at which they meet up which means the distance will be the same. D=r*t so,   r*t (Harold ) = r*t (adrienne)   r*(t) = r*(t+1)   4t = 3t+3   t=3   d=r*t   d=4*3= 
<gadget id="calculator">4*3</gadget>
<output>12</output>
12   12 miles) 12 miles
<result>B</result>
One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?