A and B travelled from P and Q. Speed of A is given as 40k/hr, B’s speed is given 50k/hr and they meet at certain distance. B travelled 120 km more than A. Find the distance between them?

• since per hour b is gaining 10 kms over A. so to gain 120 kms over A total time needed is 12 hour. hence both travelled for 12 hrs
  hence distance travelled by A= 40*12=480
  and by B= 50*12=600
  SO TOTAL DISTANCE IS 480+600=1080 kms.
• 11 years agoHelpfull: Yes(25) No(0)
• let A cover x distance in t time with 40 km/hour
  and then B cover x+120 distance in t time with 50 km/hour
  For A:-
  t=x/40
  For B:-
  t=(x+120)/50
  So
  x/40=(x+120)/50
  x=480
  x+120=600
  So distance between P and Q is= 480+600=1080km
• 11 years agoHelpfull: Yes(10) No(1)
• admin plz tell us correct ans
• 11 years agoHelpfull: Yes(2) No(0)
• ans is 0km because it said that they meet.....
  and distance b/w them is asked not between p&q
• 11 years agoHelpfull: Yes(2) No(1)
• a's speed is 40k/hr
  b's 50k/hr
  so,clearly b will travel more than a. bcause B's speed is greater than A's.
  now find distance traveled by them
  50k/hr-40k/hr=10k/hr*12h=120k
  14 km
  so time they traveled is 12h
  Distanse tvaled by them are res 600k,480k by a&b
  Now apply trick 600*600 - 480*480 =14*14
  So distance between them Will Be 14km
• 11 years agoHelpfull: Yes(1) No(3)
• Ans Is 360 KM
  a's speed is 40k/hr
  b's 50k/hr
  so,clearly b will travel more than a. bcause B's speed is greater than A's.
  now find distance traveled by them
  50k/hr-40k/hr=10k/hr*12h=120k
  so time they traveled is 12h
  Distanse tvaled by them are res 600k,480k by a&b
  Now apply trick 600*600 - 480*480 =360*360
  So distance between them Will Be between them :360 KM
• 11 years agoHelpfull: Yes(0) No(4)
• time taken by B to cover 120 kms is 2.4 hrs.
  time taken by A to cover the same is 3 hrs.
  => B is ahead of A from 0.6 hrs.
  when both trains are travelling in same directions, their speeds are subtracted to find the relative speed.
  therefore, distance between P & Q is = (50-40)*0.6=6kms.(as distance=speed*time).
• 11 years agoHelpfull: Yes(0) No(1)
• can anyone post the relevant explanation please..
• 11 years agoHelpfull: Yes(0) No(0)
• @Metasploit What the correct ans is plzzz tell us.
• 11 years agoHelpfull: Yes(0) No(0)
• Let takeA travels xKM and B take x+120 KM,from chain rule
  40:50::x:x+120(directly proportional) =>50x=40(x+120)
  x=480 sototal distance is 2x+120 is 1080.
• 11 years agoHelpfull: Yes(0) No(0)
• for same time period distance between A and B is 0. But distance between P and Q is 1080
• 8 years agoHelpfull: Yes(0) No(0)