Question

1. an airplane flies with a constant speed of 720 km/h. how long will it take to travel a distance of 360000 meters?
2. sarah rides her bike with a constant speed of 20 km/h. how long will she take to travel a distance of 10000 meters?
3. bob rides his bike with a constant speed of 10 km/h. how long will he take to travel a distance of 5000 meters?
4. nancy roller skates with a constant speed of 16 km/h. how far can she travel in 30 minutes?
5. nancy rides her horse 36000 m in 120 minutes. what is her average speed in kilometers per hour?
6. a taxi hurries with a constant speed of 88 km/h. how long will it take to travel a distance of 132000 meters?
7. a police car drives with a constant speed of 76 km/h. how long will it take to travel a distance of 38000 meters?
8. juan roller skates with a constant speed of 16 km/h. how far can he travel in 90 minutes?

Explanation:

Step1: Recall the speed - distance - time formula

The formula is $t=\frac{d}{v}$ (for time - distance - speed problems), $d = vt$ (for distance - speed - time problems) and $v=\frac{d}{t}$ (for speed - distance - time problems), where $t$ is time, $d$ is distance and $v$ is speed. Also, convert units as needed ($1\ km = 1000\ m$, $1\ h=60\ min$).

Step2: Solve problem 1

First, convert the distance to kilometers: $360000\ m=360\ km$. Then, using $t = \frac{d}{v}$, with $v = 720\ km/h$ and $d = 360\ km$, we have $t=\frac{360}{720}=0.5\ h$.

Step3: Solve problem 2

Convert the distance to kilometers: $10000\ m = 10\ km$. Using $t=\frac{d}{v}$, with $v = 20\ km/h$ and $d = 10\ km$, we get $t=\frac{10}{20}=0.5\ h$.

Step4: Solve problem 3

Convert the distance to kilometers: $5000\ m=5\ km$. Using $t=\frac{d}{v}$, with $v = 10\ km/h$ and $d = 5\ km$, we obtain $t=\frac{5}{10}=0.5\ h$.

Step5: Solve problem 4

Convert the time to hours: $30\ min = 0.5\ h$. Using $d=vt$, with $v = 16\ km/h$ and $t = 0.5\ h$, we have $d=16\times0.5 = 8\ km$.

Step6: Solve problem 5

Convert the distance to kilometers: $36000\ m=36\ km$. Convert the time to hours: $120\ min = 2\ h$. Using $v=\frac{d}{t}$, with $d = 36\ km$ and $t = 2\ h$, we get $v=\frac{36}{2}=18\ km/h$.

Step7: Solve problem 6

Convert the distance to kilometers: $132000\ m = 132\ km$. Using $t=\frac{d}{v}$, with $v = 88\ km/h$ and $d = 132\ km$, we obtain $t=\frac{132}{88}=1.5\ h$.

Step8: Solve problem 7

Convert the distance to kilometers: $38000\ m=38\ km$. Using $t=\frac{d}{v}$, with $v = 76\ km/h$ and $d = 38\ km$, we have $t=\frac{38}{76}=0.5\ h$.

Step9: Solve problem 8

Convert the time to hours: $90\ min = 1.5\ h$. Using $d=vt$, with $v = 16\ km/h$ and $t = 1.5\ h$, we get $d=16\times1.5=24\ km$.

Answer:

1. $0.5\ h$
2. $0.5\ h$
3. $0.5\ h$
4. $8\ km$
5. $18\ km/h$
6. $1.5\ h$
7. $0.5\ h$
8. $24\ km$