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

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
At the rate of m meters per s seconds, how many meters does a cyclist  [#permalink]

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17 Sep 2018, 23:11
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Difficulty:

25% (medium)

Question Stats:

74% (01:28) correct 26% (01:41) wrong based on 299 sessions

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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. $$60m\frac{x}{s}$$

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Re: At the rate of m meters per s seconds, how many meters does a cyclist  [#permalink]

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17 Sep 2018, 23:45
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Bunuel wrote:
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. $$60m\frac{x}{s}$$

s seconds --------m meters
1 second ---------m/s meters
1 minute ---------60 *m/s meters
x minutes --------60 $$\frac{mx}{s}$$ meters
E
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Re: At the rate of m meters per s seconds, how many meters does a cyclist  [#permalink]

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19 Jan 2019, 13:25
Bunuel , will you please explain how to do this or provide the OE?

I'm terrible at word problems with algebra and only variables.
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At the rate of m meters per s seconds, how many meters does a cyclist  [#permalink]

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19 Jan 2019, 18:56
Bunuel wrote:
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. $$60m\frac{x}{s}$$

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

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.

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At the rate of m meters per s seconds, how many meters does a cyclist   [#permalink] 19 Jan 2019, 18:56
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