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Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?

A. 4: 45 p.m. B. 5: 00 p.m. C. 5: 20 p.m. D. 5: 35 p.m. E. 6: 00 p.m.

Re: Train A left Centerville Station, heading toward Dale City Station, at [#permalink]

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27 Dec 2015, 10:16

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the distance travelled by the train A in first 20 minutes will be 10. The distance which will be remaining is 80. Now both trains are running in opposite direction.Their speed will be added so 40. Time at which they will meet =80/40=2 time of train B will be 3:20 +2=5:20

Re: Train A left Centerville Station, heading toward Dale City Station, at [#permalink]

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29 Dec 2015, 06:00

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kplusprinja1988 wrote:

the distance travelled by the train A in first 20 minutes will be 10. The distance which will be remaining is 80. Now both trains are running in opposite direction.Their speed will be added so 40. Time at which they will meet =80/40=2 time of train B will be 3:20 +2=5:20

Hence answer is C.Hope i am correct

as per the question train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m and Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m Distance between the two stations = 90 miles speed of train A =30 mile per hour speed of train B =10 mile per hour Relative speed = 40 mile per hour(since they are travelling in opposite direction) relative distance = 90 -(distance travelled by train A in 20 minutes) = 90 -10 = 80 miles thus time taken = 80/40=2 hours from 3:20 pm =5:20 pm

Re: Train A left Centerville Station, heading toward Dale City Station, at [#permalink]

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22 Mar 2017, 11:04

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Re: Train A left Centerville Station, heading toward Dale City Station, at [#permalink]

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13 Aug 2017, 20:24

Bunuel wrote:

Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?

A. 4: 45 p.m. B. 5: 00 p.m. C. 5: 20 p.m. D. 5: 35 p.m. E. 6: 00 p.m.

Bunuel okay one thing I don't like about this question that I was hoping you could clear up- I came up with the original formula at first

Distance traveled by A + Distance traveled by B = Length between Centerville and Dale

A =30 (x +20) B= 10(x)

30x +600 + 10x = 90 - this obviously didn't seem right but in another similar problem they expressed the equation this way? Like instead of below where I write 30(x +1/3) they put the actual amount of minutes? How do we distinguish? Do we just intuitively pick smart numbers?

Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?

A. 4: 45 p.m. B. 5: 00 p.m. C. 5: 20 p.m. D. 5: 35 p.m. E. 6: 00 p.m.

Bunuel okay one thing I don't like about this question that I was hoping you could clear up- I came up with the original formula at first

Distance traveled by A + Distance traveled by B = Length between Centerville and Dale

A =30 (x +20) B= 10(x)

30x +600 + 10x = 90 - this obviously didn't seem right but in another similar problem they expressed the equation this way? Like instead of below where I write 30(x +1/3) they put the actual amount of minutes? How do we distinguish? Do we just intuitively pick smart numbers?

A= 30(x + 1/3) B = 10(x)

30x + 10 + 10x =90 40x= 80 x= 2 hours

2 hours + 20 minutes=

C

30 and 10 are rates in miles per hour, so in (rate)(time) = (distance), the (time) must also be in in hours, the same way x above is the number of hours, not minutes.
_________________

Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?

A. 4: 45 p.m. B. 5: 00 p.m. C. 5: 20 p.m. D. 5: 35 p.m. E. 6: 00 p.m.

Since 20 minutes = 1/3 hour, we can let the time of Train B = t hours, and thus Train A = t + 1/3 hours.

The distance for Train A is 30(t + 1/3) = 30t + 10, and the distance for train B is 10t; thus:

30t + 10 + 10t = 90

40t = 80

t = 2 hours

So, the trains passed each other at 3:20 + 2 hours = 5:20 p.m.

Answer: C
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

Re: Train A left Centerville Station, heading toward Dale City Station, at [#permalink]

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21 Aug 2017, 12:24

JeffTargetTestPrep wrote:

Bunuel wrote:

Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?

A. 4: 45 p.m. B. 5: 00 p.m. C. 5: 20 p.m. D. 5: 35 p.m. E. 6: 00 p.m.

Since 20 minutes = 1/3 hour, we can let the time of Train B = t hours, and thus Train A = t + 1/3 hours.

The distance for Train A is 30(t + 1/3) = 30t + 10, and the distance for train B is 10t; thus:

30t + 10 + 10t = 90

40t = 80

t = 2 hours

So, the trains passed each other at 3:20 + 2 hours = 5:20 p.m.

Answer: C

Jeff - Thanks for answering. May I question as to why you added 2 hours to 3:20 instead of 3:00?

Re: Train A left Centerville Station, heading toward Dale City Station, at [#permalink]

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21 Aug 2017, 12:46

i have a different suggestion after 2 hours at 5 train A will be crossing 60 miles and B will be 17.** miles than after 20 min A will cross 70 mile and B will 20 mile which is the total length 90 mile so the ans will be 5.20

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