There is a crossing between A station and B station.
Trains bound for A station in every 5 minutes and trains bound for B station in every 6 minutes passes along this crossing.
The crossing is closed anytime a train passes.
While being closed, The display A and B is turned on in fixed time when trains for A station and B station pass respectively.
In 30 minutes from 8:00 to 8:30, the time when display either A or B is turned on was 10 minutes and 37 seconds in all.
Moreover, there were 1 minute and 34 seconds while both of displays were turned on simultaneously in all.
Answer the following questions.
(1) In case the time when A or B is displayed by one train is the same, find the time.
(2) In case the time when B is displayed by one train for B station is 22 seconds longer than the time when A is displayed by one train for A station,
(2)-1 Find the time when A is displayed by one train for A station.
(2)-2 B began to be displayed at 8:00 sharp and display A was turned off at 8:02:02 (2 seconds).
Find the time while the display of both A and B was turned on simultaneously in 100 minutes from 8:30 to 10:10.
Reference
Trains bound for A station in every 5 minutes and trains bound for B station in every 6 minutes passes along this crossing.
The crossing is closed anytime a train passes.
While being closed, The display A and B is turned on in fixed time when trains for A station and B station pass respectively.
In 30 minutes from 8:00 to 8:30, the time when display either A or B is turned on was 10 minutes and 37 seconds in all.
Moreover, there were 1 minute and 34 seconds while both of displays were turned on simultaneously in all.
Answer the following questions.
(1) In case the time when A or B is displayed by one train is the same, find the time.
(2) In case the time when B is displayed by one train for B station is 22 seconds longer than the time when A is displayed by one train for A station,
(2)-1 Find the time when A is displayed by one train for A station.
(2)-2 B began to be displayed at 8:00 sharp and display A was turned off at 8:02:02 (2 seconds).
Find the time while the display of both A and B was turned on simultaneously in 100 minutes from 8:30 to 10:10.
Answer
(1) 1 minute and 15 seconds
(2)-1 1 minute and 5 seconds
(2)-2 6 minutes and 14 seconds
(2)-1 1 minute and 5 seconds
(2)-2 6 minutes and 14 seconds
Reference
