A boat takes 38 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?	Choose the most appropriate option:
A) 240 km
B) 120 km
C) 360 km
D) 180 km
E) None of these
Explanation :   velocity of the stream = 4 kmph   Speed of the boat in still water is 14 kmph   Speed downstream = (14+4)= 
<gadget id="calculator">(14+4)</gadget>
<output>18</output>
18 kmph   Speed upstream= (14-4)= 
<gadget id="calculator">(14-4)</gadget>
<output>10</output>
10 kmph   Let the distance between A and B be x km   Time taken to travel downstream from A to B + Time taken to travel upstream from B to C(mid of A and B)= 38 hours   ⇒x/18+(x/2)10=38   ⇒x/18+x/20=38   ⇒19x/180=38   ⇒x/180=2   ⇒ x = 360   i.e., the distance between A and B = 360 km. Answer : Option 360 km
<result>C</result>
A boat takes 38 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?