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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: 50670
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:

45% (medium)

Question Stats:

60% (01:23) correct 40% (01:11) wrong based on 40 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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Concentration: Finance, Marketing
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How many miles long is the route from Washington DC to New York?  [#permalink]

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22 Oct 2018, 03:45
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.

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