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

Question

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}

CounterSniper · Accepted Answer

s seconds --------m meters
1 second ---------m/s meters
1 minute ---------60 *m/s meters
x minutes --------60  \frac{mx}{s}  meters
E

MartyTargetTestPrep · Answer

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.

MikeScarn · Answer

Bunuel  , will you please explain how to do this or provide the OE?

I'm terrible at word problems with algebra and only variables.

Kinshook · Answer

Asked: At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?

Speed = m/s meters/second
Time = 60x seconds
Distance = 60mx/s meters

IMO E

CEdward · Answer

How is there s in the denominator? Doesn't it cancel out?

meters / second x (60 seconds / minute) = 60 m / minute

60 m / minute x (x minutes) = 60mx

?

Sneha2021 · Answer

m and s are variables and unit is metre per second
So essentially it is m metre travelled in s seconds

bumpbot · Answer

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

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GMAT Problem Solving (PS) Questions

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

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