The question seems incomplete, below is the complete question asked:
Suppose you are walking home after school. the distance from school to your home is five kilometers. on foot, you can get home in 25 minutes. however, if you rode a bicycle, you could get home in 10 minutes. what is your average speed while walking? what is your average speed while bicycling? how much faster you travel on your bicycle?
Answer:
a. My speed travelling on foot is 3.33m/s
b. My speed riding a bicycle is 8.33m/s
c. I travelled 5 metres per second faster while riding a bicycle than when travelling on foot
Explanation:
Let us first convert the distance covered or travelled on foot to metres and the time for the travel to seconds.
Since 1000m make 1 kilometre then 5km = 1000 × 5 = 5000m. The time spent when travelling on foot is 25 minutes, we will then convert it to seconds. If 60 seconds make one minute, then 25 minutes = 60 × 25
= 1,500 seconds.
a. The formula for calculating speed is:
distance/time
speed of the foot travel is then:
5000/1,500
= 3.33m/s (metres per second)
b. Again, if you cover the same distance with a bicycle, you can get home earlier (That is in 10 minutes). We will then convert this time to seconds:
If 60 seconds make 1 minute, the 10 minutes is
60 × 10 = 600 seconds.
The speed while travelling with the bicycle is then:
5000m/600sec
= 8.33m/s
c. In order to calculate how much faster I travelled on a bicycle, I will simply subtract the speed of the foot travel from my speed while travelling with bicycle.
= 8.33m/s - 3.33m/s
= 5m/s
Therefore, I travelled 5 metres per second faster with a bicycle than when I travelled on foot.