Two friends P and Q live near each other home. They both start driving towards each other at a constant speed. Both of them Meet 500 yards from P house. When they reach each other house, they start driving back and this time, they meet 300 yards away from Q house.
Can you find out the distance between P and Q ?
Let us assume that the distance between P house and Q house be D.
Upon their first meet, P has traveled 500 yards.
Thus the distance traveled by Q = D - 500.
Calculating D as a multiple of 100 to simplify the equation
=> Speed of P / Speed of Q = 5 / (D - 5)..... (a)
Upon their next meet, P has traveled (D - 500) + 300
Distance traveled by Q = 500 + D - 300
=> Speed of P / Speed of Q = (D - 2) / (D + 2) ..... (b)
When we equate (a) and (b)
5 / (D - 5) = (D - 2) / (D + 2)
D = 12
Therefore, the distance between P and Q house is 1200 Yards.