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

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Math Expert
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A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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18 Nov 2015, 01:42
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73% (02:15) correct 27% (02:31) wrong based on 215 sessions

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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

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Re: A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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18 Nov 2015, 02:42
1
Distance travelled = (1000*x) metres
Time taken = s seconds = (p*3600) seconds
Therefore 1 sec = (3600p)/s

Speed in metres/sec = (1000x)/(3600p/s) = (sx/3.6p)

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A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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18 Nov 2015, 03:07
1
speed of the motorcycle=x/p Kilometre/hour =x*1000/p*3600 metre/second =10x/36p metre/second
hence in s seconds it would have travelled 10xs/36p = xs/3.6p metres
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Re: A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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18 Nov 2015, 20:37
x/p=kilometers per hour
1000x/3600p=meters per second
(x/3.6p)(s seconds)=sx/3.6p meters
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A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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03 Feb 2018, 04:36
Vyshak wrote:
Distance travelled = (1000*x) metres
Time taken = s seconds = (p*3600) seconds
Therefore 1 sec = (3600p)/s

Speed in metres/sec = (1000x)/(3600p/s) = (sx/3.6p)

Hello niks18 its me

can you help me to understand why solution to this question isnt this one (1000x)/(p3600) "p" hours are already converted to seconds It already exprssed meters per seconds.

so after this Time taken = s seconds = (p*3600) seconds comes this 'Therefore 1 sec = (3600p)/s" does it mean we divide by S ? so S/S gives you 1 second ? Right ? and it doesnt imply that if we divide 3600p/s we will have 1 as actual value. So 1 is expressed algebraically right ?

I halways have hard time in applying rule " IN TERMS OF" in this case got confused cause it says in terms of x, s, and p. I got used to expression y in terms of x which means we need to isolate y, and in the above mentioned example we need to isolate all three

many thanks and have a great weekend
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Re: A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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03 Feb 2018, 05:10
1
dave13 wrote:
Vyshak wrote:
Distance travelled = (1000*x) metres
Time taken = s seconds = (p*3600) seconds
Therefore 1 sec = (3600p)/s

Speed in metres/sec = (1000x)/(3600p/s) = (sx/3.6p)

Hello niks18 its me

can you help me to understand why solution to this question isnt this one (1000x)/(p3600) "p" hours are already converted to seconds It already exprssed meters per seconds.

so after this Time taken = s seconds = (p*3600) seconds comes this 'Therefore 1 sec = (3600p)/s" does it mean we divide by S ? so S/S gives you 1 second ? Right ? and it doesnt imply that if we divide 3600p/s we will have 1 as actual value. So 1 is expressed algebraically right ?

I halways have hard time in applying rule " IN TERMS OF" in this case got confused cause it says in terms of x, s, and p. I got used to expression y in terms of x which means we need to isolate y, and in the above mentioned example we need to isolate all three

many thanks and have a great weekend

Hi dave13

$$s$$ is a variable here so you cannot cancel $$s$$ by S from "Sec". instead of s there could have been any other notation such as t, a, b etc.

Alternatively we know Speed = $$\frac{x}{p}$$ $$\frac{km}{h}$$ $$= \frac{1000*x}{3600p}$$ $$\frac{m}{sec}$$

time $$= s$$ seconds

Distance $$= Speed*time=\frac{1000*x}{3500p}*s$$

Another approach, as the have only variable here so let x=1 km, p=1 hour & s=1 sec

so as per question speed = 1/1 kmph=1000/36000 m/sec=1/3.6 m/sec

Hence distance traveled in 1 sec = 1/3.6*1=1/3.6

Now substitute the value of x, p & s in option to arrive at the answer

For Option C= sx/3.6p=1*!/3.6*1=1/3.6, Hence our answer
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Re: A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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01 Aug 2018, 16:41
Bunuel 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 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.

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Re: A motorcycle travels at a speed of x kilometers per p hours. How many  [#permalink]

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28 Feb 2019, 20:17
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...

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Re: A motorcycle travels at a speed of x kilometers per p hours. How many   [#permalink] 28 Feb 2019, 20:17
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