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# How many miles long is the route from Washington DC to New York?

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Math Expert
Joined: 02 Sep 2009
Posts: 53065
How many miles long is the route from Washington DC to New York?  [#permalink]

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21 Oct 2018, 23:13
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:13) correct 35% (01:20) wrong based on 60 sessions

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How many miles long is the route from Washington DC to New York?

(1) It will take 20 minutes less time to travel the entire route at an average rate of 65 miles per hour than at an average rate of 60 miles per hour.
(2) It will take 2.5 hours to travel the first half of the route at an average rate of 52 miles per hour.

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Joined: 18 Jul 2018
Posts: 676
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
How many miles long is the route from Washington DC to New York?  [#permalink]

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22 Oct 2018, 03:45
1
Distance = Speed x Time.

From statement 1:

D = 65(T-20) and
D= 60T.
Solving, 65T-1300 = 60T or T = $$\frac{1300}{5}$$ = 260 min.

Distance = $$60*\frac{260}{60}$$ = 260 miles.
Sufficient.

From statement 2:

Let the distance be x miles for half the route.
Given $$\frac{x}{2.5} = 52 or x = 52*\frac{5}{2}$$ = 130 miles. Now total distance = 2x = 260 miles.
Sufficient.

D is the answer.
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How many miles long is the route from Washington DC to New York?   [#permalink] 22 Oct 2018, 03:45
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# How many miles long is the route from Washington DC to New York?

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