SOLUTION: A glacier moves with a speed of 40 nm/s. How many years would it take for the glacier to move 0.75 km? Assume there are 365 days in a year. Answer in units of y.

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: A glacier moves with a speed of 40 nm/s. How many years would it take for the glacier to move 0.75 km? Assume there are 365 days in a year. Answer in units of y.      Log On

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Question 401476: A glacier moves with a speed of 40 nm/s.
How many years would it take for the
glacier to move 0.75 km? Assume there are
365 days in a year.
Answer in units of y.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
how many years would it take to move 1 km at 1 nm/sec?
1 km = 10%5E3 m
10%5E3 m = 10%5E12 nm
t%5B1%5D = (10%5E12 nm)/(1 nm/sec)
This is time in seconds. To get time in years, convert 1 sec to years
1 sec x 1%2F3600 hrs/sec x 1%2F24 days/hr x 1%2F365 yrs/day = 1%2F31536000 yrs
1 sec = 3.170979%2A10%5E%28-8%29 yrs
--------------------------------
t%5B1%5D%2A%281%2F40%29 = (10%5E12 nm)/(40 nm/sec)
and
t%5B1%5D%2A%28.75%2F40%29 = (.75%2A10%5E12 nm)/(40 nm/sec)
.01875%2At%5B1%5D+=+.01875%2A10%5E12 sec
call the left side t in sec
t+=+.01875%2A10%5E12 sec
t+=+.01875%2A10%5E12+%2A+3.170979%2A10%5E%28-8%29 sec x yrs/sec
t+=+.0594%2A10%5E4 yrs
t+=+594 yrs
It would take 594 years
Whew! Hope I got it.