Two persons , Ram & Lakshman , who are at a distance of 100 km from each other, move towards each other from two places P and Q at speeds of 20 kmph and 25 kmph respectively. Lakshman reaches P, returns immediately and meets Ram at R, who started on the return journey to P immediately after reaching Q. What is the distance between Q and R?  Choose the most appropriate option:
A) 33 1/3 km B) 25 km C) 30km D) 27 1/3 km E) None of these
Ram takes 100/20= 
<gadget id="calculator">100/20</gadget>
<output>5</output>
5 hours to cover the distance from P to Q. By that time Lakshman covers   covers 5 *25= 
<gadget id="calculator">5 *25</gadget>
<output>125</output>
125 km   Lakshman covers 25 km more than the distance PQ . Now the distance between them= 75 km   Time taken by them to meet = Distance/ Relative speed = 75/(20+25) = 75/45 = 5/3 hrs.   Distance between Q and R is nothing but the distance covered by Ram in 5/3 hours = 20 *5/3 = 100/3 km or 33 1/3 km   33 1/3 kmnswer: 33 1/3 km
<result>A</result>
Two persons , Ram & Lakshman , who are at a distance of 100 km from each other, move towards each other from two places P and Q at speeds of 20 kmph and 25 kmph respectively. Lakshman reaches P, returns immediately and meets Ram at R, who started on the return journey to P immediately after reaching Q. What is the distance between Q and R?