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17 Sep 2018, 23:11
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E
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Difficulty:
15%
(low)
Question Stats:
81% (01:21) correct
19%
(01:37)
wrong
based on 2414
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At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?
A. \(\frac{m}{sx}\)
B. \(m\frac{x}{s}\)
C. \(60\frac{m}{sx}\)
D. \(60m\frac{s}{x}\)
E. \(60m\frac{x}{s}\)
A. \(\frac{m}{sx}\)
B. \(m\frac{x}{s}\)
C. \(60\frac{m}{sx}\)
D. \(60m\frac{s}{x}\)
E. \(60m\frac{x}{s}\)
17 Sep 2018, 23:45
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Bunuel
s seconds --------m meters
1 second ---------m/s meters
1 minute ---------60 *m/s meters
x minutes --------60 \(\frac{mx}{s}\) meters
E
19 Jan 2019, 18:56
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Bunuel
We find the original rate, which is m meters per every s seconds, or m/s meters per second.
Since the number of seconds in a minute is 60, while we don't know how many seconds s is, we do know that to convert the rate in seconds to the rate in minutes we multiply by 60.
So, the rate per minute is 60m/s.
So, in x minutes, the cyclist will travel x * 60m/s = 60xm/s
The correct answer is E.
Alternative Method:
The greater m is, the further the cyclist will travel in a second or in x minutes. So m goes on top of the fraction.
We have m/ .
The greater s is, the slower the cyclist goes and the fewer meters traveled, because the greater s is the fewer meters the cyclist goes in 1 second. So, we put s on the bottom of the fraction.
We have m/s.
Since minutes have 60 seconds, to convert from rate per second to rate per minute, multiply by 60.
We have 60m/s.
The greater x is, the greater the number of meters traveled. So, put x on top of the fraction.
Final answer 60xm/s.
The correct answer is E.
