Two people A and B start from P and Q (Distance = D) at the same time towards each other. They meet at a point R, which is at a distance of 0.4D from P. They continue to move to and from between the two points. Find the distance from point P at which the fourth meeting takes place.
Answers
Answer:
Two peopleA and B start from P and Q
Fourth meeting point will be at a distance of 0.8D from P and a 0.2D from Q
Distance at which A and B are apart from each other = D (Given)
Distance at which they meet from P = 0.4D (Given)
Therefore, the point is at a distance from Q = 0.6D
Thus, the ratio of distance covered of A and B = 4/6 = 2/3
When time is constant, then distance is directly proportional to the speed, thus Ratio of speed = Ratio of distance
When two people move towards each other from two opposite points, together they will cover a distance = (2n-1)D
First time they together cover a distance of D, next time 3D and so on.
Thus, fourth time they will have covered a total distance will be = 7D.
As the ratio of distance = 2/3
Therefore, the distance covered by A = 2/5 × 7D = 2.8D
Distance covered by B = 3/5 × 7D = 4.2D
Hence, the fourth meeting point will be at a distance of 0.8D from P and a 0.2D from Q