2½ inches per minute, 240 inches per hour, 1/4 foot per minute; which is fastest?

2 1/2 inch per min.

240 inch per
hour

1/4 foot per min.

Which is
faster?

First we need to convert all of the above to the same
unit.

We will convert to inch per
min.

So we have:

2 1/2
inch/ min

Now we will convert 240 inch /
hour

We know that 1 hour = 60
m.

==> 240 inch / hour = 240 inch / 60 min = (240/60) inch/
min.

==> 240 inch / hour = 4 inch /
m

 Now we will convert 1/4 foot/
min

We know that:

1 ft = 12
inch

==> 1/4 ft = 12/4
inch

==> 1/4 ft = 3
inch.

==> (1/4) ft / min = 3 inch/
min

Now we will
compare:

2/12  < 3 <
4

==> 2 1/2 ich/min < 
1/4 ft/min <  240 inch/
hour