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In driving a round trip from City A to City B, a motorist drives to Ci

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Bunuel
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In driving a round trip from City A to City B, a motorist drives to Ci [#permalink] New post  13 Apr 2018, 03:36
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In driving a round trip from City A to City B, a motorist drives to City B and, on the way back to City A, by the same route, stops at a service station at a location that is 10 percent of the distance to City A from City B. When the motorist stops at the service station, what percent of the round trip is completed?

(A) 40%
(B) 45%
(C) 55%
(D) 60%
(E) 65%
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In driving a round trip from City A to City B, a motorist drives to Ci [#permalink] New post  Updated on: 13 Apr 2018, 06:35
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Bunuel wrote:
In driving a round trip from City A to City B, a motorist drives to City B and, on the way back to City A, by the same route, stops at a service station at a location that is 10 percent of the distance to City A from City B. When the motorist stops at the service station, what percent of the round trip is completed?

(A) 40%
(B) 45%
(C) 55%
(D) 60%
(E) 65%



City A to B is 50% of the total journey.
City B to A is 50% of the total journey.

10% of City B to A is 10%*(50%) = 5%

Percent of round trip completed is therefore 50% + 5% = 55%

Hence option C = 55% is the answer.

Give me +1 Kudos if you like the explanation. Thanks.

Originally posted by houston1980 on 13 Apr 2018, 03:43.
Last edited by houston1980 on 13 Apr 2018, 06:35, edited 1 time in total.
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styxnexus
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Re: In driving a round trip from City A to City B, a motorist drives to Ci [#permalink] New post  13 Apr 2018, 04:20
Let the distance between A & B be x, so total distance to be covered = 2x.
Now, the stop takes places at a location that is 10 percent of the distance to City A from City B = 0.1x
Hence the percent of the round trip is completed = (x+0.1x) / 2x *100 = 1.1x/2x *100 = 5.5*100 = 55%
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Re: In driving a round trip from City A to City B, a motorist drives to Ci [#permalink] New post  28 Apr 2018, 19:27
Let distance between A and B be 50
So round trip=100
Stops at 1/10 of distance means 5
Already covered 50 from A to B and then 5 from B to A

Total distance=55 out of 100

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In driving a round trip from City A to City B, a motorist drives to Ci [#permalink] New post  04 Aug 2018, 10:25
Bunuel wrote:
In driving a round trip from City A to City B, a motorist drives to City B and, on the way back to City A, by the same route, stops at a service station at a location that is 10 percent of the distance to City A from City B. When the motorist stops at the service station, what percent of the round trip is completed?

(A) 40%
(B) 45%
(C) 55%
(D) 60%
(E) 65%


Distance from A to B = D (say)

Distance from B to A = D (as per question A to B = B to A)

Total distance that must be travelled = 2D

But actual distance travelled = D + 0.10D = 1.1 D

Percentage =\(\frac{1.1D}{2D}\) \(* 100\) = \(55\)\(%\)

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In driving a round trip from City A to City B, a motorist drives to Ci [#permalink] New post  04 Aug 2018, 10:47
Bunuel wrote:
In driving a round trip from City A to City B, a motorist drives to City B and, on the way back to City A, by the same route, stops at a service station at a location that is 10 percent of the distance to City A from City B. When the motorist stops at the service station, what percent of the round trip is completed?

(A) 40%
(B) 45%
(C) 55%
(D) 60%
(E) 65%


distance from A to B=10/20 of round trip
distance from B to service station=1/10*10/20=1/20 of round trip
11/20=55% of round trip
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In driving a round trip from City A to City B, a motorist drives to Ci [#permalink]
04 Aug 2018, 10:47
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