Peter and Rhea lives some distance apart from each other, separated by a straight road. They both take out their cars and start driving at the same time with the same speed towards each other's home.
After some time, their cars meet at 500 miles away from Peter's house. They keep driving and reach at each other's home. Without stopping by, they turn back and start driving again. This time, they meet 300 miles away from each other's home.
What is the distance between their houses?	Answers
A) 1200 Miles. B) 110 Miles. C) 1300 Miles. D) 1400 Miles. E) 1500 Miles.
Solution:   Let the distance between Peter's (hereafter referred as P) and Rhea's (hereafter referred as R) be D.   When P and R meet for the first time, P has traveled 500 miles.   In that case, R has traveled (D - 500) miles.   =&gt; Speed of P / Speed of R = 500 / (D - 500) ...... (1)   When P and R meet for the second time, P has traveled (D - 500) + 300 miles   Now, R has traveled (500 + D - 300)   =&gt; Speed of P / Speed of R = 5 / (D - 5) ..... (2)   Equating (1) and (2)   500 / (D - 500) = (D - 2) / (D + 2)   D = 1200 Miles.   1200 Miles.nswer 1200 Miles.
<result>A</result>
Peter and Rhea lives some distance apart from each other, separated by a straight road. They both take out their cars and start driving at the same time with the same speed towards each other's home.
After some time, their cars meet at 500 miles away from Peter's house. They keep driving and reach at each other's home. Without stopping by, they turn back and start driving again. This time, they meet 300 miles away from each other's home.
What is the distance between their houses?