Suppose you are walking home from school. The distance from school to your is 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.

a) 3.33m/s b) 8.33m/s c) 15minutes faster

Explanation:

The question is incomplete. This is the complete question;

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?

Speed is the defined as Distance covered by a body in a specified time. Mathematically;

Speed = Distance/Time

- If the distance from school to home is 5km and time taken to get home on foot is 25minutes, average speed while walking will be calculated as;

Average speed while walking = distance covered on foot/time taken on foot

Average speed while walking = 5km/25mins = 0.2km/min

Covering to m/s gives;

(0.2*1000) m / (1*60) secs

= (200/60) m/s

= 3.33m/s

- average speed while bicycling = distance covered on bicycle/time taken on bicycle

Distance from school to home will not change i. e 5km = 5000m

Time taken on bicycle home = 10mins = 10*60 = 600seconds

average speed while bicycling = 5000/600

average speed while bicycling = 8.33m/s

- to calculate how much faster traveled by bicycle, we will subtract time taken on foot from time taken by bicycle to have;

25min - 10mins

= 15minutes

This means he travels 15minutes faster on bicycle compare to foot

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.