Question

Is it faster to drive a car going 40 miles per hour or 50 feet per second?

Answer 1

Yes

Explanation:

To solve this problem, let's convert these into the same units.

We use the conversions:

- 1 hour = 60 min

- 1 min = 60 sec

- 1 mile = 5280 ft

40 miles/hour = 40 miles/60 minutes =
`(40)/(60)` miles/min =
`(40)/(60)` miles/60 seconds =

`((40)/(60) )/(60)` miles/sec =
`((40)/(60) )/(60)*5280` ft/sec = 176/3 ft/sec ≈ 58.67 ft/sec

Obviously, 58.67 ft/sec > 50 ft/sec.

Thus, yes, it is faster to drive a car going 40 mph than a car going 50 ft/sec.

Hope this helps!

Answer 2

40 miles per hour is faster.

Explanation:

First we have to find how many feet per hour the second car is going.

There are 60 seconds in a minute, and 60 minutes in an hour.

50*60=3600

There are 3600 seconds in a hour.

50*3600=180000

This means that the second car going 180000 feet per hour.

1 mile is 5280 feet.

Now we have to figure out how many miles 180000 is.

We can do that by setting up the following expression.

180000/5280=34 1/11 or 34.09

Since 40 is greater than 34.09, it is faster to drive a car going 40 miles per hour.