A bus left town at 10:35 AM. It arrived at the next town at 3:05 PM at an average speed of 24km/h. How many kilometres did it cover?



Answer :

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].