Forrest can run at a rate of
1
0
miles per hour. However, after every mile, he must rest for
1
minute. How long would it take him to run
1
0
miles?
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@Chung Kevin Nice question. I came within a whisker of choosing 70 minutes before I gave it a second thought. :)
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NICE SOLUTION BROTHER
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.
It's simple, He won't stop after the 10th mile because he would've been already arrived.
V = t d where V = s p e e d ; d = d i s t a n c e , t = t i m e
t = V d + 6 0 9 = 1 . 1 5 h o u r s
or
t = 1 . 1 5 h o u r s ( 1 h o u r 6 0 m i n u t e s ) = 6 9 m i n u t e s
he doesn't need to take rest for first mile lol L a T e X
It's the opposite actually. He doesn't need to rest for the last mile.
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
FROM FORMULA OF Distance = Velocity ( Time ) 10 = 10 (T - 9)/60 T = 69 Min.
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.
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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At 1 0 mph Forrest takes 6 minutes to run a mile. So each "run a mile then rest a minute" cycle takes 7 minutes. But once he reaches 1 0 miles we don't have to count another minute of rest, so it takes him 1 0 ∗ 7 − 1 = 6 9 minutes to run 1 0 miles.