Question 1167590: Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong
Found 4 solutions by MathTherapy, Edwin McCravy, ikleyn, mccravyedwin:
Answer by MathTherapy(10556)   (Show Source):
You can put this solution on YOUR website!
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?
I know someone else asked this but the answers were wrong
As requested, let time spent swimming, be t
Since he ran half an hour longer than he swam, then time spent running = t +  hr, or (t + .5) hrs
And, since his biking-time was twice his running-time, then biking time = 2(t + .5)
As his running, biking and swimming speeds were 9 mph, 16 mph, and 2.5 mph, respectively, running, biking and swimming
distances were 9(t + .5), 16(2)(t + .5), and 2.5t, respectively
As he covered 64 miles, in total, we get the following DISTANCE equation:
9(t + .5) + 16(2)(t + .5) + 2.5t = 64
9t + 4.5 + 32t + 16 + 2.5t = 64
43.5t = 43.5
Time spent swimming, or 
a) He swam for t = 1 hour, and so, he ran for t + .5 = 1.5 hours
Based on everything that was done above, you should be able to answer all other questions posed.
Answer by Edwin McCravy(20064)  (Show Source):
You can put this solution on YOUR website!
I posted an answer to problem number 1172392 back in December 27, 2020. This one
is numbered 1167590, which means it was posted even before that. That was back
before schools started emphasizing statistics when all the tutors stopped
posting answers to statistics problems.
I'm sure whoever posted it 4.5 years ago, is happy to see that someone finally
answered it 4.5 years later. J
Answer by ikleyn(52879)  (Show Source):
You can put this solution on YOUR website! .
Explanation specially for Edwin:
Dear Edwin, the solutions which we produce at this forum at present time,
the solutions that we produced at this forum in the past,
and the solutions that we will produce at this forum in future,
will be used as a base of knowledge in tens cases when developers of AI
will develop their versions of AI.
From this point of view, it does not matter if a problem was posted
today, yesterday or 5 years ago, or even 15 years ago.
What really does matter for these developers is to have correct appropriate solutions
in the knowledge database, which is a collection of templates and is a fuel for the AI engines,
covering all required topics at all necessary levels.
Answer by mccravyedwin(409)  (Show Source):
You can put this solution on YOUR website!
Ikleyn,
Why don't you solve some of these unsolved probablity and statistics problems?:
https://www.algebra.com/tutors/faq.mpl?action=show_questions&topic=Probability-and-statistics
They are all from 2020, when high schools and colleges started emphasizing
statistics and de-emphasizing other math subjects? This is just a few of them.
Are you like the other tutors, who don't like stats either?
You will notice that they are all numbered from 1166229 to 1167907, which means
they were posted in that magic year, 2020, when the site started on its downward
trend.
Solving stats problems is the only way to get this site back on its feet again.
Edwin
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