Question

A train travels 110 miles per hour. How fast does the
train travel in feet per second?

Answer 1

Given :

A train travels 110 miles per hour.

To Find :

How fast does the train travel in feet per second.

Solution :

We know, 1 mile = 5280 feet .

1 hour = 3600 s.

So, speed in feet per second is :

Hence, this is the required solution.

Explanation:

Answer 2

Explanation:

We can use conversion factors to find the answer.

By definition:

5280 feet (ft) = 1 mile

1 hour(hr) = 60 minutes (min)

1 min = 60 seconds (sec)

We are given 110 miles/hr. We want to change the unit from miles/hr to feet/sec.

Make the definitions into conversion factors by dividing one side by the other.

5280 ft = 1 mile can be either:

5280 ft/(1 mile) = 1, or

(1 mile)/(5280 ft) =1

These are conversion factos since we can multiply them times anything without making the value invalid, since they are both equal to 1, and 1 multiplied by anything will not change it's validity. Yes the number changes, but the units also change, accordingly.

Knowing this, we can make the conversion factors we need to change miles/hr into feet/sec. I like to line everything up and apply the factors one at a time until we get the units desired.

(miles/hr)*[(5280ft/mile)]*[(1 hr)/(60 min)][(1 min)/(60 sec)]

miles cancel hr cancel min cancel

We are left with feet/sec after everything else cancels

Now just do the math on the numbers and add feet/sec afterwards.

5289/(60)*(60) = 1.46667 feet/sec

110*(1.46667 feet/sec) = 161 feet/sec