Question

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 6 minutes.

● Blue line buses were scheduled to leave the stadium every 8 minutes.

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.

Answer 1

Solution :-

For finding next time a red line and a blue line bus will leave together we will find LCM of 6 and 8.

LCM = (6,8) = 24

Now,

Let's find add the time to LCM

`\tt \: 4 : 00 + 0 : 24 = 4 : 24`

Answer 2

• At 4:24 p.m.

Explanation:

We need to find the lowest number that is divisible by both 6 and 8.

• LCM(6, 8) = 24

So, next time is after 24 minutes and every 24 minutes after that.

• 4: 00 p.m. + 24 min = 4:24 p.m.