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At the rate of m meters per s seconds, how many meters does

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Manager
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At the rate of m meters per s seconds, how many meters does [#permalink] New post 28 Apr 2006, 04:41
At the rate of m meters per s seconds, how many meters does a cyclist travel in in x minutes?

(A) m/(sx)
(B) (mx)/s
(C) (60m)/(sx)
(D) (60ms)/x
(E) (60mx)/s


Any general help with these types of probelms? Usually they are worded as "What is x in terms of y?"...
They give me lots of trouble.
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 [#permalink] New post 28 Apr 2006, 04:57
Hallo kook 44,
think that you have to find m for one sek which is m/s. Now you have the distance the cyclist travels in 1 sec. Then if you want to find how many meters he travelled for 1 min you should multiply by 60. If the number of minutes is X then multiply by 60X. Think that E) is your ANS
In general, the idea is to find what is the distance per unit, let's say second, hour and so on.
What is X in terms of Y , this is basically to express X through Y
Hope it helps
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Re: units conversion [#permalink] New post 28 Apr 2006, 06:26
kook44 wrote:
At the rate of m meters per s seconds, how many meters does a cyclist travel in in x minutes?

(A) m/(sx)
(B) (mx)/s
(C) (60m)/(sx)
(D) (60ms)/x
(E) (60mx)/s


Any general help with these types of probelms? Usually they are worded as "What is x in terms of y?"...
They give me lots of trouble.


Rate = m/s to convert seconds into minutes divide by 60, s/60.
Distance = R * T = s/60 * x = (60mx)/s= E
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 [#permalink] New post 28 Apr 2006, 07:00
You need to understand what the units mean if you want to solve it. Fortunately, understanding what the units mean isn't going to be very tough.

FOr instance, m/s simply means number meters divided by number of seconds, so that it gives you a rate of how many meters is covered in a single second.

We know our rate here = m/s meters per second. In one minute, there're 60 seconds, so in x minutes, there're 60x seconds. The distance is therefore 60mx/s.
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 [#permalink] New post 28 Apr 2006, 07:20
Yep. OA is E.
Thanks for the help guys. I just get confused whether saying "m" meters per second is the same as writing "m/s" because m/s is also used as the "unit" in an expression. ie- "five meters per second" is written as 5 m/s. is this the same as saying 5/1 = m/s as a ratio?
so in this question, if y is the number of meters the cyclist travels,
m/s = y/60x

becasue 60 *x is the number of seconds.....

I think it's starting to soak in.
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 [#permalink] New post 28 Apr 2006, 20:26
I came up with wrong solution and one rule for 'conversion of unit' for myself

m/s = 60m/60s = 60m/min so for 60 min its 60xm/min

or lets say km/hour = 1000m/60min = 1000m/10*60s

or rate of m^3/hour = (100cm)^3/hour = (100cm)^3/60*60s

I guess writting like this will remove any silly mistake in real exam!
  [#permalink] 28 Apr 2006, 20:26
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At the rate of m meters per s seconds, how many meters does

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