**Horse Power**

Horsepower
is usually calculated in the English system, (not necessarily in the world-wide metric
system used in science and technology).

Before
calculating horsepower, (HP); Work (W) must be found first. And W =
Force x Distance, where force is measured in pounds, distance is
measured in feet, and Work is measured in foot pounds.

The
next step is to divide the Work by the Time; W/T = Power, where the
quicker the work is done, the greater the power value will be. The
label is in ft.lbs per second. Or ft.lbs/sec

One
HP is equal to 550 ft.lbs per second, or 550 ft.lbs/sec. So, after
calculating Power, a division by 550 ft.lbs./sec, will give the
Horsepower or HP. The labels cancel out, and HP has no label other
than it's value.

Example:
A machine that moves 110 pounds, a distance of 20 feet produces 2200
ft.lbs. of Work. If the machine can do this task in 2 seconds, then
the Power of the machine is 1100 ft.lbs.per second. Divide the Power by
550 ft.lbs.per second, and the HP for the machine is 2.

Your challenge:

Two
students volunteer in class to have their horsepower calculated. The
data collected comes from each of them being timed after running up
the same double flight of stairs. Each flight is 20 ft. in total
distance, plus an 8' 9” flat landing located between the two
flights.

Tiny
Ted weighs 78 lbs. while Big Ben weighs 312 lbs. Ben's time to run
the whole distance is 7.9 seconds.

1.Calculate:
1.a, Big Ben's work, 1b, his power, 1c, his Horsepower

2.a,
Calculate Tiny Ted's Work, 2.b, How fast must Tiny Tim run the
stairs in order to tie or beat Ben in Horsepower? (Rounding to a 10

^{th}of a second is permissible) 2.c, Is Tiny Ted's time a realistic possibility?