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Two long time friends want to meet for lunch on a free weekend. One fr

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Two long time friends want to meet for lunch on a free weekend. One fr [#permalink]

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New post 18 Oct 2016, 19:48
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Question Stats:

80% (01:56) correct 20% (01:57) wrong based on 40 sessions

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Two long time friends want to meet for lunch on a free weekend. One friend Ann, lives in Portland, and the other, Bill, lives in Seattle. They decide to meet somewhere on the 200-mile stretch connecting the two cities, and they start driving simultaneously from their respective cities toward each other along the same route. Ann drives an average of 50 miles per hour, and Bill drives an average of 70 miles per hour. Approximately how many miles from Portland will the two meet?

a) 56.7
b) 60.0
c) 72.5
d) 83.3
e) 96.7

Please assist with above problem.
[Reveal] Spoiler: OA
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Re: Two long time friends want to meet for lunch on a free weekend. One fr [#permalink]

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New post 18 Oct 2016, 20:10
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Portland<----------200 Miles----------> Seattle

Ann starts from Portland with an Avg speed of 50 miles/hr

Bill starts from Seattle with an Avg speed of 70 miles/hr

Since they are driving towards each other, the relative speed with S1+S2

So, the relative speed = 70+50 = 120 miles/hr

Time when they will meet = 200/120 = 100/60

We have to calculate the distance from Portland, and we know Ann started from Portland with an avg speed of 50 miles/hr.

So, the distance covered by Ann in 100/60 would be = 50*(100/60) = 83.33 miles.

HTH
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Re: Two long time friends want to meet for lunch on a free weekend. One fr [#permalink]

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New post 25 Jan 2018, 12:44
Hi All,

This is an example of a combined rate question. Since Ann drives at 50 miles/hour and Bill drives at 70 miles/hour, they travel a total of 120 miles each hour. The starting distance between them is 200 miles, so we can figure out how long it would take them to meet up...

D = (R)(T)
200 miles = (120 miles/hour)(Time)
200/120 = Time
5/3 hours = Time to meet

The questions how far they are from PORTLAND when they meet. Since Anne is traveling from Portland, and they meet after 5/3 hours, we can figure out how far Anne is from Portland...

D = (R)(T)
D = (50 miles/hour)(5/3 hours)
D = 250/3 miles
D = 83.33333 miles

Final Answer:
[Reveal] Spoiler:
D


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Re: Two long time friends want to meet for lunch on a free weekend. One fr   [#permalink] 25 Jan 2018, 12:44
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