Question

City hoops run two buses starting from the same bus stop if one bus has a route that takes 25 minutes and the other one takes 45 minutes the buses leave the bus stop at 6 am at what time will the buses be at the same bus stop at the same time?

Answer 1

To determine when two buses with different route times will be at the same stop simultaneously, find the Least Common Multiple (LCM) of their route times, convert it to hours, and then add this duration to the initial departure time. Therefore, the buses are together at the same stop at 9:45 am.

Step-by-step explanation:

To find out what time the two buses from City hoops will be at the same bus stop at the same time after starting together at 6:00 am, where one bus has a 25-minute route and the other has a 45-minute route, we need to look for the Least Common Multiple (LCM) of their route times.

The LCM of 25 and 45 is 225 minutes. Since there are 60 minutes in an hour, this is 3 hours and 45 minutes.

Adding this time to the starting time of 6:00 am, the buses will again be together at the bus stop at 9:45 am.

Here is the step-by-step explanation:

1. Find the LCM of 25 and 45, which is 225 minutes.
2. Convert 225 minutes into hours by dividing by 60. This gives us 3 hours and 45 minutes.
3. Add this time to the starting time of 6:00 am.
4. Therefore, the buses are together at the same stop at 9:45 am.