Question

suppose that a player can run at a speed of 15 miles per hour. how many second will it take for the player to run from one corner to the opposite corner? round your answer to the nearest second. there are 5280 feet in a mile, 60 second in a minute and 60 minutes in a hour​

Answer 1

answer

15 seconds

set up distance equation

to find the shortest distance between corners, we can use the Pythagorean theorem $a^2 + b^2 = c^2$

a is the width or 160 feet

b is the length or 300 feet

find distance

plug in values to find c, the distance

$a^2 + b^2 = c^2$

$160^2 + 300^2 = c^2$

115600  = $c^2$

c = $\sqrt{115600}$

c = 340  feet

set up time equation

to find the time it takes to run from corner to corner, we can use the equation

$time = \frac{distance}{speed}$

find speed in feet/second

convert the speed of 15 miles/hour into feet/second

$\frac{15miles}{hour} *\frac{5280 feet}{1 miles} * \frac{1 hour}{60 minutes}*\frac{1 minute}{60 seconds}$

= 22 feet/second

find time

since we now know distance and speed with the appropriate units, we can find time

plug values into $time = \frac{distance}{speed}$

distance = c = 340 feet

speed = 22 feet/second

$time = \frac{340}{22}$

time = 15.4545 ≈ 15 seconds