Final answer:
The next time that buses to both Shenley and Winley leave at the same time is 10:15 a.m., two hours after 8:15 a.m.
Step-by-step explanation:
To find the next time that buses to both Shenley and Winley leave at the same time, we need to determine the least common multiple (LCM) of 40 minutes and 15 minutes. The LCM is the smallest number that is divisible by both 40 and 15.
The LCM of 40 and 15 is 120. Therefore, buses to both Shenley and Winley will leave at the same time after 120 minutes, which is equivalent to 2 hours.
So, the next time that buses to both Shenley and Winley leave at the same time is 10:15 a.m., two hours after 8:15 a.m.