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# Two trains are traveling on parallel tracks in the same direction. The

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Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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06 Jan 2015, 08:02
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Difficulty:

15% (low)

Question Stats:

81% (01:36) correct 19% (01:44) wrong based on 282 sessions

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Tough and Tricky questions: Distance/Rate Problems.

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.

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Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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06 Jan 2015, 08:22
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The relative speed of the two trains is 30 miles per hour. If the faster train is 10 miles behind the slower one at 2 o'clock, it must be 90 miles further 3 hours later. That means, it is 80 miles ahead of the slower train at 5 o'clock.
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Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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06 Jan 2015, 09:21
1
Bunuel wrote:

Tough and Tricky questions: Distance/Rate Problems.

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.

In three hours faster train travels 390 miles
In three hours slower train travels 300 miles

since the faster train was 10 miles behind at the starting the distance between the trains at 5 o clock is 390-300-10 = 80

Ans B
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Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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06 Jan 2015, 22:54
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Answer = B. 80 miles

Relational speed = 130 - 100 = 30 miles per hour

In 3 hours, difference = 30 * 3 = 90 miles

Fast train trailing 10 miles, so effective difference = 90 - 10 = 80 miles
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Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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09 Jan 2015, 01:04
1
Relative Speed = 30
Distance Travel in 3 hours = 30*3 = 90
Already in-between distance = 10 miles

So the answer has to be 90-10 = 80miles
Option B
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Posts: 54376
Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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09 Jan 2015, 06:38
Bunuel wrote:

Tough and Tricky questions: Distance/Rate Problems.

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.

OFFICIAL SOLUTION:

(B) The faster train is traveling 30 mph faster than the slower train. At 5 o'clock the faster train will travel 3 hours × 30 mph = 90 miles more than the slower one. Considering that it is 10 miles behind the slower train at 2 o’clock, it will be 90 – 10 = 80 miles ahead at 5 o’clock.

The correct answer is B.
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Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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06 Sep 2017, 04:54
1
Bunuel wrote:

Tough and Tricky questions: Distance/Rate Problems.

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.

Relative speed is 30 miles per hr.

So at 2 o'clock Train F is 10 miles behind.
So in 3hrs it has to be 90 miles ahead consider relative speed of 30mph.
So at 5 it will be -10+90 = 80 miles ahead
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Re: Two trains are traveling on parallel tracks in the same direction. The  [#permalink]

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11 Sep 2017, 10:58
Quote:

Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?

A. 60 miles
B. 80 miles
C. 90 miles
D. 120 miles
E. 400 miles

Kudos for a correct solution.

In 3 hours, the faster train has traveled 130 x 3 = 390 miles and the slower train has traveled 100 x 3 = 300 miles. Thus, after 3 hours, the faster train should be 90 miles ahead of the slower train. However, since at 2 o’clock the faster train is 10 miles behind the slower one, the faster train is only 90 - 10 = 80 miles ahead of the slower train.

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Re: Two trains are traveling on parallel tracks in the same direction. The   [#permalink] 11 Sep 2017, 10:58
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