Question

Robert was able to travel 166.0 miles in 4.000 hours and used 39 liters of gasoline. What was Robert's speed in feet per second?

Answer 1

60.87 ft/s

Step-by-step explanation:

Speed is defined as a ratio between the distance traveled and time. Given a total distance of:

`d = 166.0~mi`

Let's convert it into feet first of all using the conversion factor:

`1~mi = 5280~ft`

We obtain:

`d = 166.0~mi\cdot (5280~ft)/(1~mi) = 876480~ft`

Now let's convert the given time into seconds knowing that:

`1~h = 3600~s`

Then:

`t = 4.000~h\cdot (3600~s)/(1~h) = 14400~s`

Now let's find the speed:

`v = (d)/(t) = (876480~ft)/(14400~s) = 60.87~ft/s`