The time each shuttles completes a cycle determines the time after which
they will both be at the station.
Reasons:
The given parameters are;
The two airport shuttle trains leave the station the same time at the start, t = 0 (the first time)
The rate at which shuttle A returns to the station = A period of shuttle A = Every 8 minutes
The rate at which shuttle B to returns to the station = A period of shuttle B = Every 10 minutes
Required:
The time it will take for shuttles A and B to leave the station together the second time.
Solution:
The time at which shuttle A and B leave the station together, for the first
time, will be the time over which they both will have made complete round
trips back to the station, which is given by the the Least Common Multiple,
LCM, of the period of shuttle A and B
The LCM of 8 and 10 = 40
Therefore, the time it will take for shuttles A and B to leave the station
together for the second time after start, is in another after start (t = 0) 40
minutes
Which gives;
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