Brice is taking a bike tour of the city. The entire tour is 24 7/10 kilometers long. brice knows that his average biking rate is 4.3 meters per second. what is Brice's biking rate in kilometers per hour?

Respuesta :

We know that his rate is 4.3 meters per second.

• 1 hour equals 3,600 seconds.

,

• 1 kilometer equals 1,000 meters.

Let's transform:

[tex]x=\frac{4.3m}{1\sec}\cdot\frac{3,600\sec}{1hr}\cdot\frac{1\operatorname{km}}{1,000m}=\frac{15,480\operatorname{km}}{1000hr}=\frac{15.48\operatorname{km}}{hr}[/tex]

Hence, Brice's biking rate is 15.48 kilometers per hour.

On the other hand, we know that the entire tour is 24 7/10 kilometers long, which is equivalent to 24.7 kilometers.

To find the answer we just have to divide

[tex]t=\frac{24.7\operatorname{km}}{15.48\operatorname{km}/hr}\approx1.60hr[/tex]

But, we have to transform 0.60 hours to minutes.

[tex]0.60hr\cdot\frac{60\min}{1hr}=36\min [/tex]

Hence, it takes 1 hour and 36 minutes to complete the bike tour, approximately.