A motorcycle travels at a speed of x kilometers per p hours.

Hi All,

We're told that a motorcycle travels at a speed of X KILOMETERS per P HOURS. We're asked for the number of METERS it will travel in S SECONDS, in terms of S, P and X. (xps ≠ 0; 1 kilometer = 1000 meters). This question can be solved in a number of different ways, including by TESTing VALUES.

To start, I normally would NOT use the number 1 for any of the variables, but since the answer choices are significantly different from one another, using the number 1 for a couple of the variables should be fine...

IF... X = 1, P = 1 and S = 3600, the the car travels 1 kilometer in 1 hour, meaning that it travels 1 kilometer in 60 minutes (or 1 kilometer in 3600 seconds). Since our S = 3600, we will be traveling 1 kilometer in total --> and that is 1000 meters. In simple terms, we're looking for an answer that equals 1000, when X=1, P=1 and S=3600. Based on where the "S" shows up in each of the answers, you should be able to find the correct answer without doing much math at all...

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

swerve wrote:A motorcycle travels at a speed of x kilometers per p hours. How many meters will it travel in s seconds, in terms of s, p and x. (xps ≠ 0; 1 kilometer = 1000 meters)?

A. xp/s
B. 1000xp/s
C. sx/(3.6p)
D. 60xp/s
E. xp3.6*10^s

The OA is C

Source: Princeton Review

The speed of the motorcycle is x/p kmph. In meters per second, it will be:

1000x/(3600p) = 10x/(36p) = x/(3.6p)

Therefore, in s seconds, the motorcycle travels s * x/(3.6p) = sx/(3.6p) meters.

Answer: C

swerve wrote:A motorcycle travels at a speed of x kilometers per p hours. How many meters will it travel in s seconds, in terms of s, p and x. (xps ≠ 0; 1 kilometer = 1000 meters)?

A. xp/s
B. 1000xp/s
C. sx/(3.6p)
D. 60xp/s
E. xp3.6*10^s

The OA is C

Source: Princeton Review

The speed of the motorcycle is x/p kmph. In meters per second, it will be:

1000x/(3600p) = 10x/(36p) = x/(3.6p)

Therefore, in s seconds, the motorcycle travels s * x/(3.6p) = sx/(3.6p) meters.

Answer: C