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# How many miles long is the route from Danton to Griggston?

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Math Expert
Joined: 02 Sep 2009
Posts: 50670
How many miles long is the route from Danton to Griggston?  [#permalink]

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07 May 2017, 12:53
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:27) correct 31% (01:22) wrong based on 163 sessions

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How many miles long is the route from Danton to Griggston?

(1) It is 130 miles from Danton to Milton, which is 110 miles from Griggston.
(2) It will take 3 hours less to travel the entire route from Danton to Griggston at an average rate of 45 miles per hour than at an average of 30 miles per hour.

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GMAT 1: 650 Q49 V31
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Re: How many miles long is the route from Danton to Griggston?  [#permalink]

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07 May 2017, 13:16
1
1 is insufficient as we don't know if there is any direct route from Danton to griggston
2 is sufficient because we can calculate time and from that we can find the distance
30*t=45(t-3)
t=9
So distance will be 30*9=270

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Joined: 19 Feb 2017
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Re: How many miles long is the route from Danton to Griggston?  [#permalink]

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06 Nov 2017, 02:09
1) (1) is Insufficient, as the position of Milton with respect to Danton or Griggston is not given. Had it be given that Milton lies between Danton & Griggston and all three lie in a straight line, then (1) would have been alone sufficient.
2) (2) is Sufficient.
Let 't' be the time taken to travel from Danton to Griggston at a speed of 30 mph, and the distance between them be 'D'.
So, as given, 30*t = 45*(t-3).
Solving, we get, t = 9 hours.
So, D = 30*9 = 45*(9-3) = 270 miles.
Hence, sufficient.

So, correct answer is B.
Re: How many miles long is the route from Danton to Griggston? &nbs [#permalink] 06 Nov 2017, 02:09
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# How many miles long is the route from Danton to Griggston?

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