A technician makes a round-trip to and from a certain service center b

Question

A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?

A) 5%
B) 10%
C) 25%
D) 40%
E) 55%

A) 5% 
B) 10% 
C) 25% 
D) 40% 
E) 55%

BrentGMATPrepNow · Accepted Answer

Always check the answer choices before you do ANY work.

The complete round trip consists of driving to the service center and then back home again. 
So, once the technician drives to the service center he/she has already competed 50% of the entire trip.
Since the technician completes a portion of the trip back home,  the correct answer must be greater than 50% 
Only one answer choice works. 
Answer:  E

Related Video:
 https://www.youtube.com/watch?v=8GqcJGUVIk4

meyba2ty · Answer

Assuming the round trip is 100%, then each trip is 50%
Drive to the centre = 50%
10% of the drive back = 10% * 50% = 5%
% trip completed = 50% + 5% = 55%

sudhirmadaan · Answer

i got it wrong because i misunderstood the meaning 
" If the technician completes the drive to the center " it actually means completed 50% of the entire trip then 10% of this more 
so overall 55%

saiesta · Answer

Assuming that the technician makes a round-trip of 40 miles (each way is 20 miles), then the technician would have completed 20 miles + 2 miles (10% of the remaining 20 miles). Therefore, the total is 22 miles.  \frac{22 miles}{40 miles}  is 55% of the entire trip.

Mo2men · Answer

Let the distance from hot to center = 100.............round trip =200
Then 10% of distance= 10

Total completed distance =110

Percentage = 110/200= 11/20 .....this number is more than 50%

Only answer above 50% is 55%

Answer: E

reynaldreni · Answer

The math is simple, but the wordings in the problem were a little difficult to grasp in the first read.

Let's say a round-trip takes distance "D"
Total distance for 2 round-trip is 2D
So the technician has traveled D + 0.1D = 1.1D
The percent of the round-trip has the technician completed = 1.1D / 2D = 0.55 (E)

GMATinsight · Answer

Let, Distance between other destination from Centre = D

Total Distance to be travelled = 2D

Distance travelled = D+0.1*D = 1.1D

% of round trip completed = (1.1D)*100/(2D) = 55%

Answer: Option E

ScottTargetTestPrep · Answer

We can let the distance to the center = d, so the roundtrip distance = 2d.

Since the technician has driven to the center and completed 10 percent of the drive home, he has gone d + 0.1d = 1.1d. Thus, the percentage completed is:

(1.1d)/(2d) x 100

11/20 x 100 = 11 x 5 = 55 percent.

Alternate solution:

After the technician has driven to the center, he or she has completed half, or 50%, of the round trip. We know that the technician will drive a bit more, and without doing the math, we see that the only logical answer choice is 55%.

Answer: E

satheshshiva · Answer

A trap answer 60% is missing.

DhruvS · Answer

Let the entire trip be of 100 miles
He covered 50 miles one way.
And 10% of 50 miles while going back.
Hence 10/100 * 50 = 5 miles
Total distance covered = 50+ 5 = 55 miles
Hence % of distance covered = 55/100 * 100
= 55%
Hence E

Posted from my mobile device

KingAdam44 · Answer

You can also imagine a circle as the representation of this trip: the questions states that half of the trip has been made (50%), + 10% of that trip: 50/100 + 5 times 10%=0.5+0.05=0.55 so answer is E!

prabsahi · Answer

This Video is extremely helpful !!

GMATinsight · Answer

Answer: Option E

Video solution by  GMATinsight

https://www.youtube.com/watch?v=BMgz4h1wxFY

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=_ezD1jsyFR0

bumpbot · Answer

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A technician makes a round-trip to and from a certain service center b

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