A bicycle moves with speed of 6km/h for 2 hrs and 4km/h for the next 3 hrs. Find the average speed and distance traveled?

1 Answer
Nam D.
Jun 5, 2018

Total distance traveled is #24 \ "km"#.

Average speed is #4.8 \ "km/h"#.

Explanation:

We first have to find the distance traveled.

The total distance traveled here is:

#(6 \ "km")/(color(red)cancelcolor(black)"h")*2color(red)cancelcolor(black)"h"+(4 \ "km")/(color(red)cancelcolor(black)"h")*3color(red)cancelcolor(black)"h"#

#=12 \ "km"+12 \ "km"#

#=24 \ "km"#

Now, we can find the average speed. Average speed is given by the equation:

#bars=d/t#

where:

  • #d# is the total distance traveled

  • #t# is the total time taken

So, we get:

#bars=(24 \ "km")/(2 \ "h"+3 \ "h")#

#=(24 \ "km")/(5 \ "h")#

#=4.8 \ "km/h"#

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