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24 Nov 2013, 15:51
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (02:04) correct
22%
(02:08)
wrong
based on 724
sessions
History
Date
Time
Result
Not Attempted Yet
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.
(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.
24 Nov 2013, 15:55
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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?
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?
24 Nov 2013, 16:15
Kudos
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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.
(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.
