Question

Timothy went to a baseball Timothy went to a baseball game. after the game, he wanted to ride the bus home. the red line and the blue line buses both stop at the stadium. ●A red line and a blue line bus both left the stadium at 4:00 p.m. ●Red line buses were scheduled to leave the stadium every 6mins ●Blue line buses were scheduled to leave If the busses run on schedule when is the next time a red line and a blue line bus will leave together?​

Answer 1

The next time a red line and a blue line bus will leave together is 30 minutes after the initial departure time, which is 4:30 p.m.

Step-by-step explanation:

Time at when red line and a blue line bus both left the stadium = 4:00pm

Time after which red line bus is scheduled = 6 mins

To determine when the next time a red line and a blue line bus will leave together, we need to find the least common multiple (LCM) of the time intervals at which the two types of buses leave the stadium.

The red line buses leave every 6 minutes and the blue line buses leave every 10 minutes.

The LCM of 6 and 10 is 30.

Therefore, the next time a red line and a blue line bus will leave together is 30 minutes after the initial departure time, which is 4:30 p.m.