Q11. 
$A$, $B$ and $C$ start simultaneously from $X$ to $Y$. $A$ reaches $Y$, turns back and meet $B$ at a distance of 11 km from $Y$. $B$ reached $Y$, turns back and meet $C$ at a distance of 9 km from $Y$. If the ratio of the speeds of $A$ and $C$ is $3:2$, what is the distance between $X$ and $Y$? 
A.  99 km 

B.  100 km 

C.  120 km 

D.  142 km 
Q12. 
Laila drives to the station each day to pick up her husband Majnu, who usually arrives on a train at 6 o’clock. Last Monday, Majnu finished work earlier, caught an earlier train and arrived at the station at 5 ‘o clock. He started to walk home and eventually met Laila who drove him the rest of the way, getting home 20 minutes earlier than usual. On Tuesday, he again finished early and found himself at the station at 5:30. Again he began to walk home, again he met Laila on the way, and she drove him home the rest of the way, Assume constant speed throughout with no wasted time for waiting, backing of the car etc. How earlier than the usual time were they home on Tuesday? 
A.  6 min 

B.  8 min 

C.  10 min 

D.  12 min 
Q13. 
Three athletes $A$, $B$ and $C$ run a race, $B$ finished 24 meters ahead of $C$ and 36 m ahead of $A$, while $C$ finished 16 m ahead of $A$. If each athlete runs the entire distance at their respective constant speeds, what is the length of the race? 
A.  108 m 

B.  90 m 

C.  80 m 

D.  96 m 
Q14. 
Mukesh, Suresh and Dinesh travel from Delhi to Mathura to attend Janmashtmi Utsav. They have a bike which can carry only two riders at a time as per traffic rules. Bike can be driven only by Mukesh. Mathura is 300 km from Delhi. All of them walk at 15 km/h. All of them start their journey from Delhi simultaneously and are required to reach Mathura at the same time. If the speed of bike is 60km/h, then what is the shortest possible time in which all three can reach Mathura at the same time? 
A.  \(\dfrac{58}{7}\) hr 

B.  \(\dfrac{65}{7}\) hr 

C.  $10$ hr 

D.  None of these 