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ps distance word problems

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mand-y
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ps distance word problems [#permalink] New post   18 Jun 2006, 17:36
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:) plz help need on the following :
A motorcycle traveling at 60 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour
head start. How far from the starting point are the two vehicles?

my approach on this one is
given T the time the motocycle is driving

60 t= 30 ( T+3) is this correct ?

THANKS



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Re: ps distance word problems [#permalink] New post   18 Jun 2006, 18:35
Setup equations based on how far the motorcycle and the car travelled in x amount of time. The distance travelled should be equal.
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ywilfred
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Re: ps distance word problems [#permalink] New post   18 Jun 2006, 18:43
The similar thing between the two is distance.

Let the time travelled by car be x hours.

Then distance travelled by the car = d = 30x
And ditance travelled by the bike = d = 60(x-3) = 60x - 180

Now we can equate:

30x = 60x - 180
180 = 30x
x = 180/30 = 6 miles
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Re: ps distance word problems [#permalink] New post   19 Jun 2006, 01:20
mand-y wrote:
:) plz help need on the following :
A motorcycle traveling at 60 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour
head start. How far from the starting point are the two vehicles?

my approach on this one is
given T the time the motocycle is driving

60 t= 30 ( T+3) is this correct ?

THANKS



Your equation is correct.

t=3
d=60*3 = 180 miles
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Re: ps distance word problems [#permalink] New post   19 Jun 2006, 07:43
:) THANKS for ur explanations
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Re: ps distance word problems [#permalink] New post   19 Jun 2006, 09:00
Yup. 180. Similar to another prpoblem today. The thing to remember is to think as "they meet after 't' time"

so A would have travelled 30*3 + 30t = 90+30t and B 60t

so 90+30t = 60t => t = 3 => distance = st = 60*3 = 180 miles.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: ps distance word problems [#permalink]
19 Jun 2006, 09:00
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