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# Distance travelled

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Senior Manager
Joined: 19 Oct 2010
Posts: 271
Location: India
GMAT 1: 560 Q36 V31
GPA: 3
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Kudos [?]: 64 [0], given: 27

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28 Mar 2011, 08:32
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Question Stats:

100% (02:42) correct 0% (00:00) wrong based on 2 sessions

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If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?

A. 100
B. 120
C. 140
D. 150
E. 160
[Reveal] Spoiler: OA

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petrifiedbutstanding

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Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
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Kudos [?]: 315 [0], given: 123

Re: Distance travelled [#permalink]

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28 Mar 2011, 09:02
Let v and t be initial parameter
vt=d
from the stem (t+1)(v+5)=70+d
=>v+5t=65-------1)

We need the additional distance traveled second time at v+10 and t+2
(t+2)(v+10)=vt+2v+10t+20
but vt=d
Hence d+2(v+5t)+20
But v+5t=65 hence the additional distance traveled is 2(v+5t)+20=2*65+20=130+20=150

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Joined: 16 Nov 2010
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Location: United States (IN)
Concentration: Strategy, Technology
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Kudos [?]: 471 [0], given: 36

Re: Distance travelled [#permalink]

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28 Mar 2011, 19:43
I think this has been discussed earlier.
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Re: Distance travelled   [#permalink] 28 Mar 2011, 19:43
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# Distance travelled

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