Week 274 (18th November 2022)

Muhammad commutes to work using the train.  

At his local railway station trains are either eastbound or westbound.  

An eastbound train leaves the station every 25 minutes.  

A westbound train leaves the station every 45 minutes. 

An eastbound train and a westbound train both leave the station at 8am. 

When is the next time that two trains leave the station together? 

Answer:  

We need to find the lowest common multiple of 25 and 45. 

25, 50, 75, 100, 125, 150, 175, 200, 225 

45, 90, 135, 180, 225 

So, after 225 minutes both trains will be leaving the station again. 

225 minutes/ 60 = 3.75 = 3 hours 45 minutes 

So, the next time = 11:45 a.m.