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Today, Samson’s Train traveled at a constant rate along a st

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Today, Samson’s Train traveled at a constant rate along a st  [#permalink]

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New post 24 Nov 2013, 15:51
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Today, Samson’s Train traveled at a constant rate along a straight North-South route that included the famous 10-mile long Chasm Bridge. Was Samson’s Train on the Chasm Bridge at 2:00 p.m.?

(1) At 9:00 a.m., Samson’s Train was 200 miles north of the Chasm Bridge, and at 4:00 p.m, the train was 140 miles south of Chasm Bridge.

(2) Samson’s Train started its trip at 6:00 a.m., and traveled at a rate of less than 70 miles per hour.
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Re: Is Samson's train on the bridge at 2pm?  [#permalink]

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New post 24 Nov 2013, 15:55
Can someone please explain the reasoning behind OA.

Even if we know the average speed, can't we consider an extreme scenario in which this was not true?

For example, if the train was going 1 mph for the first 4 hours wouldn't this affect how the average speed helps us solve the problem?
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Re: Today, Samson’s Train traveled at a constant rate along a st  [#permalink]

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New post 24 Nov 2013, 16:15
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Today, Samson’s Train traveled at a constant rate along a straight North-South route that included the famous 10-mile long Chasm Bridge. Was Samson’s Train on the Chasm Bridge at 2:00 p.m.?

(1) At 9:00 a.m., Samson’s Train was 200 miles north of the Chasm Bridge, and at 4:00 p.m, the train was 140 miles south of Chasm Bridge.

This statement implies that the train covered 200 + 10 mile-long bridge + 140 = 350 miles in 7 hours (from 9:00 a.m. to 4:00 p.m.). Thus the speed of the train was 350/7 = 50 miles per hour. From 9:00 a.m. to 2:00 p.m. or in 5 hours the train traveled 250 miles (from the point when it was 200 miles north of the bridge). Therefore at 2:00 p.m. the train was 250-(200+10)=40 miles south of Chasm Bridge. Sufficient.

(2) Samson’s Train started its trip at 6:00 a.m., and traveled at a rate of less than 70 miles per hour. Clearly insufficient, we know nothing about the distances.

Answer: A.

Hope it's clear.
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Re: Is Samson's train on the bridge at 2pm?  [#permalink]

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New post 24 Nov 2013, 16:16
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SleeB wrote:
Can someone please explain the reasoning behind OA.

Even if we know the average speed, can't we consider an extreme scenario in which this was not true?

For example, if the train was going 1 mph for the first 4 hours wouldn't this affect how the average speed helps us solve the problem?


Notice that we are told that the train traveled at a constant rate.
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Re: Today, Samson’s Train traveled at a constant rate along a st  [#permalink]

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New post 01 May 2014, 07:24
Bunuel wrote:
Today, Samson’s Train traveled at a constant rate along a straight North-South route that included the famous 10-mile long Chasm Bridge. Was Samson’s Train on the Chasm Bridge at 2:00 p.m.?

(1) At 9:00 a.m., Samson’s Train was 200 miles north of the Chasm Bridge, and at 4:00 p.m, the train was 140 miles south of Chasm Bridge.

This statement implies that the train covered 200 + 10 mile-long bridge + 140 = 350 miles in 7 hours (from 9:00 a.m. to 4:00 p.m.). Thus the speed of the train was 350/7 = 50 miles per hour. From 9:00 a.m. to 2:00 p.m. or in 5 hours the train traveled 250 miles (from the point when it was 200 miles north of the bridge). Therefore at 2:00 p.m. the train was 250-(200+10)=40 miles south of Chasm Bridge. Sufficient.

(2) Samson’s Train started its trip at 6:00 a.m., and traveled at a rate of less than 70 miles per hour. Clearly insufficient, we know nothing about the distances.

Answer: A.

Hope it's clear.


Furthermore for option # 2 , not clear on what is meant by "less than". Does it mean the speed could be anything less than 70mph ?
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Re: Today, Samson’s Train traveled at a constant rate along a st  [#permalink]

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New post 01 May 2014, 09:39
himanshujovi wrote:
Bunuel wrote:
Today, Samson’s Train traveled at a constant rate along a straight North-South route that included the famous 10-mile long Chasm Bridge. Was Samson’s Train on the Chasm Bridge at 2:00 p.m.?

(1) At 9:00 a.m., Samson’s Train was 200 miles north of the Chasm Bridge, and at 4:00 p.m, the train was 140 miles south of Chasm Bridge.

This statement implies that the train covered 200 + 10 mile-long bridge + 140 = 350 miles in 7 hours (from 9:00 a.m. to 4:00 p.m.). Thus the speed of the train was 350/7 = 50 miles per hour. From 9:00 a.m. to 2:00 p.m. or in 5 hours the train traveled 250 miles (from the point when it was 200 miles north of the bridge). Therefore at 2:00 p.m. the train was 250-(200+10)=40 miles south of Chasm Bridge. Sufficient.

(2) Samson’s Train started its trip at 6:00 a.m., and traveled at a rate of less than 70 miles per hour. Clearly insufficient, we know nothing about the distances.

Answer: A.

Hope it's clear.


Furthermore for option # 2 , not clear on what is meant by "less than". Does it mean the speed could be anything less than 70mph ?


Yes, it means exactly that.
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Re: Today, Samson’s Train traveled at a constant rate along a st  [#permalink]

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New post 29 Aug 2017, 04:19
Hi

So because it is mentioned that the train traveled at a constant speed the average speed becomes the actual speed of the train ?

Regards
Sandy Da Silva
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Re: Today, Samson’s Train traveled at a constant rate along a st   [#permalink] 29 Aug 2017, 04:19
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