Starting at 6:00 am, a bus makes a stop at my street corner every 10 minutes. also starting 6:00 am, a taxi cab comes by evey 12 minutes. what is the next time there will be a bus and a taxi at the corner at the same time?

Mathematics · High School · Tue Nov 03 2020

Answered on

Bus make a stop every 10 minutes

and, cab makes a stop every 12 min

So, to find the next stop when they are together at the corner, we will have to find the lcm of 10 and 12 

LCM(15,12) = 60

Since 60 minutes = 1 hour, at 7 AM both, a taxi and bus, will arrive at the same time.