Question

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 0.4D from P. They continue to move to and fro between the two points. Find the distance from point P at which the fourth meeting takes place.

• A. 0.8D
• B. 0.6D
• C. 0.3D
• D. 0.4D

Answer 1

The correct option is A 0.8D

Refer to the following figure which helps us understand that the ratio of speeds of A and B would be 2 : 3

The 4th meeting would occur after a combined movement of D + 6D = 7D. ${\frac{2}{5}}^{th}$ of this distance would be covered by A and ${\frac{3}{5}}^{th}$ of this distance would be the distance covered by B. Thus, distance covered by A would be ${\frac{2}{5}}^{th}$ of 7D, i.e., distance covered by A = 2.8D - which means that the 4th meeting occurs at a distance of 0.8D from P.