SOLUTION: A person runs n times around a circular track whose radius is t miles. For every mile that he runs, he consumes s quarts of sports drink. How will he only need 1 quart ?
Unsur
Algebra.Com
Question 1202815: A person runs n times around a circular track whose radius is t miles. For every mile that he runs, he consumes s quarts of sports drink. How will he only need 1 quart ?
Unsure how to solve.
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
radius of the track in miles: t
circumference of the track in miles: 2(pi)t
distance in miles around the track n times: (2(pi)t)n = 2(pi)(t)(n)
quarts of a sports drink consumed, at s quarts per mile: 2(pi)(t)(n)(s)
If he only needs 1 quart, then
2(pi)(t)(n)(s) = 1
Of course an infinite number of different combinations of t, n, and s will have him consuming 1 quart of sports drink.
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
One time around the track circumference of .
n times around the track, miles.
He consumes s quarts of drink for each 1 mile of travel.
He must travel just 1 mile!
-----------Two variables so there are some choices here.
Do you expect only whole numbers for n?
"Yes";
Then there you go. n=1, and solve for t.
n=2, and solve for t.
n=3, and solve for t.
.
.
Also think what is practical for values of t. Does each "circular" track circumference make sense?
RELATED QUESTIONS
Joe ran around a track that was 1/8 of a mile. He ran the track 24 times how many miles... (answered by Alan3354)
Ethan runs around the perimeter of a circular track at 10 ft/sec. The track has a radius... (answered by addingup)
James ran 1/3 of the way around the track in 20 seconds. He knows that he runs 1km every... (answered by nk8874141874@gmail.com)
Rosie is training for the next football match. She runs around a circular track with a... (answered by Fombitz)
[ If Eric runs 3/4 of a mile every 8 minutes, how much does he run in one hour? What is... (answered by TimothyLamb)
Carlos walks around the track 10 times at a rate of x laps per hour. He runs around the... (answered by ankor@dixie-net.com)
The radius of a circular cycle track 42 meters, how many kilometer will a cyclist cover... (answered by TimothyLamb)
Joe DiMaggio was a Hall of Fame baseball player. He averaged about 1 home run for every... (answered by Alan3354)
Chris and Pat exercise together by running in opposite directions around a 108m circular... (answered by Boreal)