The speeds of John and Max are 30 km/hr and 40 km/hr. Initially Max is at a place L and Jhon is at a place M. The distance between L and M is 650 kms. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is :

Answer: Option C

Speed of John = 30 km/h
Speed of Max = 40 km/h
Distance between L and M = 650 km

Distance travelled by john in 3 hours
= 30 x 3
= 90 km
Time taken by Max and John to travel remaining
= 650 - 90
= 560 km
$$\begin{array}{rl}& =\frac{560}{40+30}\\ & =\frac{560}{70}\\ & =8\text{hours}\end{array}$$
Distance travel by John to reach point
P = 8 × 30 = 240 km
Distance between P and M
= 240 + 90
= 330 km