Question

Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500miles per minute to travel to the moon? Round to the nearest hour8 hours20 hours478 hours28,680 hours

Answer 1

8 hours

Step-by-step explanation

Step 1

Let

distance = 239000 miles

speed = 500 miles per minute

time( hours) = t

Step 2

to find the time, use

`\begin{gathered} \text{distance= speed }\cdot\text{ time } \\ \text{time}=\frac{dis\tan ce}{\text{speed}} \end{gathered}`

replace

`\begin{gathered} \text{time}=\frac{239000\text{ miles}}{500\frac{miles}{m\in\text{ute}}} \\ \text{time}=478\text{ minutes} \end{gathered}`

Hence, time = 478

Step 2

convert the minutes into hours

if 1 hour = 60 minutes

then, x=hurs for 478 minutes

`\begin{gathered} 1\rightarrow60 \\ x\rightarrow478 \\ \text{the ratio is the same, so} \\ (1)/(60)=(x)/(478) \end{gathered}`

Now, solve for x

`\begin{gathered} (1)/(60)=(x)/(478) \\ 1\cdot478=60\cdot x \\ x=(478)/(60) \\ x=7.96\text{ hours } \end{gathered}`

Step 3

Round to the nearest hour

`7.96\rightarrow8`

8 hours