Answer:
108 km
Step-by-step explanation:
Speed
There's a relationship between speed, distance, and time.
[tex]s=\dfrac{d}{t}[/tex],
where s, d, and t are speed distance and time respectively.
[tex]\dotfill[/tex]
Solving the Problem
We're given
- speed: 24km/h
- time: start- 10:35 AM; end- 3:05 PM
and we're asked to find the distance traveled in that time frame.
We can rearrange the equation above to have distance in terms of speed and time.
[tex]st=d[/tex]
Now we must calculate the bus's travel time.
4 hours elapse from 10:35 AM to 2:35 PM, 25 minutes from 2:35 PM to 3:00 PM, and 5 more to get to 3:05 PM.
This totals the bus's travel time to 4 hours and 30 minutes or 4.5 hours.
So,
[tex](24)(4.5)=\boxed{d=108}[/tex].
