There is a bus stop in front of Luann's house.A bus arrives at the stop every 45 minutes and goes into fown.The first bus comes at 7:15am If the bus trip takes 12 minutes, what is the latest bus Luann can take in order to get to town by 1:00pm ?

a tourist bus leaves richmond at 1:00pm for new york city. exactly 24 minutes later, a truck sets from the same direction. the tourist bus moves at a steady 60 km/h. the truck travels at 80 km/h. how long does it take the truck to overtake the tourist bus

To calculate the latest bus that Luann can take in order to get to town by 1:00 pm, we need to consider the travel time and the frequency of the bus.

First, let's determine how many bus trips are possible between 7:15 am and 1:00 pm.
The time difference from 7:15 am to 1:00 pm is 5 hours and 45 minutes, or 5.75 hours.

To find the number of bus trips, we divide the total time available by the frequency of the buses.
5.75 hours / 0.75 hours (45 minutes in decimal form) = 7.67 (approx.)

Since we can't have a fraction of a bus trip, we need to round down to the nearest whole number. So, there are 7 full bus trips possible between 7:15 am and 1:00 pm.

Next, we need to calculate the total travel time for 7 bus trips.
7 bus trips * 12 minutes per trip = 84 minutes.

Now, we subtract the total travel time from the available time to find the latest bus Luann can take.
1:00 pm - 84 minutes = 11:16 am.

Therefore, the latest bus Luann can take in order to get to town by 1:00 pm is 11:16 am.