SOLUTION: Two trains P and Q are traveling from station A to station B at speeds of 100kmph and 120 kmph respectively. Train Q stops at station C for 10 minutes but reaches station B 5 minut

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Question 890595: Two trains P and Q are traveling from station A to station B at speeds of 100kmph and 120 kmph respectively. Train Q stops at station C for 10 minutes but reaches station B 5 minutes before train P. Find the distance between stations A and B
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two trains P and Q are traveling from station A to station B at speeds of 100kmph and 120 kmph respectively.
Train Q stops at station C for 10 minutes but reaches station B 5 minutes before train P.
Find the distance between stations A and B
:
Let d = dist from A to B
:
change 10 min to 1%2F6 hr, Q's stop at C
change 5 min to 1%2F12 hr, difference in their transit times
;
Write a time equation; time = dist/speed
P's transmit time - Q's transit time = 5 min
d%2F100 - (d%2F120+%2B+1%2F6) = 1%2F12
d%2F100 - d%2F120 - 1%2F6 = 1%2F12
Multiply by 600 to cancel the denominators, results:
6d - 5d - 100 = 50
d = 50 + 100
d = 150 km from A to B