Run Forrest Run

Algebra Level 2

Forrest can run at a rate of 10 10 miles per hour. However, after every mile, he must rest for 1 1 minute. How long would it take him to run 10 10 miles?

Image credit: Flickr Prayitno
61 minutes 71 minutes 60 minutes 70 minutes 69 minutes

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8 solutions

At 10 10 mph Forrest takes 6 6 minutes to run a mile. So each "run a mile then rest a minute" cycle takes 7 7 minutes. But once he reaches 10 10 miles we don't have to count another minute of rest, so it takes him 10 7 1 = 69 10*7 - 1 = \boxed{69} minutes to run 10 10 miles.

@Chung Kevin Nice question. I came within a whisker of choosing 70 minutes before I gave it a second thought. :)

Brian Charlesworth - 6 years, 4 months ago

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Yes :)

Run 10 miles - 60 mins
Rest after 9 miles - 9 mins

Chung Kevin - 6 years, 4 months ago

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Answer of 69

Chung, you scamp, you.

Brock Brown - 6 years, 4 months ago

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@Brock Brown Did you get this wrong?

Chung Kevin - 6 years, 4 months ago

NICE SOLUTION BROTHER

YAJNASENI JENA - 6 years, 4 months ago

Honestly,I nearly choose 70 minutes which is same as Brian Charlesworth but after I think it for the second time,I realize that something isn't right here and doing my counting,after count it a few minutes,I just realize that the answer is 69,which I never expected.

Frankie Fook - 6 years, 4 months ago
Khaled Ahmed
Feb 8, 2015

It's simple, He won't stop after the 10th mile because he would've been already arrived.

V = d t V=\dfrac{d}{t} where V = s p e e d ; d = d i s t a n c e , t = t i m e V=speed;d=distance,t=time

t = d V + 9 60 = 1.15 h o u r s t=\dfrac{d}{V}+\dfrac{9}{60}=1.15hours

or

t = 1.15 h o u r s ( 60 m i n u t e s 1 h o u r ) = 69 m i n u t e s t=1.15~hours\left(\dfrac{60~minutes}{1~hour}\right)=69~minutes

Tuhin Arif
Feb 19, 2015

he doesn't need to take rest for first mile lol L a T e X LaTeX

It's the opposite actually. He doesn't need to rest for the last mile.

Chung Kevin - 6 years, 3 months ago
Krishna Garg
Feb 11, 2015

Since last 1 mile ,he will touch his destination so 60 minutes for 10 miles and 9 minutes for each mile stoppage total 69 ans

Fox To-ong
Feb 10, 2015

FROM FORMULA OF Distance = Velocity ( Time ) 10 = 10 (T - 9)/60 T = 69 Min.

Sunil Pradhan
Feb 8, 2015

Without rest he will take 1 hr. = 60 minutes. But in 10 miles there are 9 rest of 1 min. each

Total time = 60 + 9 = 69 min.

Gamal Sultan
Feb 11, 2015

Forrest takes 60 minutes to run the whole distance without rest. But he rests 9 times. Each time he rests for one minutes So the answer is 69 minutes

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