Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Choose the correct choice from the following answers.
A) 2 : 3 B) 4 : 3 C) 6 : 7 D) 9 : 16 E) 9 : 14
Let the slower train have speed of 1 unit and faster train a speed of   r units of speed.   Let t = time to when the trains meet.   rt 1t   Howrah|-----------------------|----------| Patna   meet   They meet rt units from Howrah and 1t units from Patna   For the second part of the journey the fast train at speed r has 1t   unit of distance and 9 hours to do it   So 1t/r = 9   Slow train has rt units of distance at speed of 1 unit and 16 hours   to do it.   rt/1 = 16   So rt/1 16   ----- = ---- giving r^2 = 16/9   1t/r 9   r = 4/3   ANSWER:4 : 3
<result>B</result>
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is: