Question: A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
(A) 4:00
(B) 5:00
(C) 6:00
(D) 7:00
(E) 8:00
Correct Answer: B
Solution and Explanation:
Approach Solution 1:
6:00 in evening in Chicago = 7:00 in evening in New York. So, the train was in Chicago at 7:00 in the evening, New York time.
The trip took T=D/R=840/60=14 hours. Therefore, the train departs from New York at 7:00 - 14 hours = 5:00 in the morning, New York time.
Approach Solution 2:
Time taken according to Chicago time => 840/60 = 14 hour journey
If say train reaches on Monday at 6 PM (Chicago time)
it must have started at 4 AM on Monday (14 hour journey)
This is according to Chicago time.
Now Chicago = New York time -1
Thus New York time = 4 AM + 1 = 5 AM
Approach Solution 3:
Since time = distance/rate, it takes the train 840/60 = 14 hours to get to Chicago from New York.
Since Chicago time is one hour earlier than New York time, when the train arrive in Chicago at 6 pm, New York time is 7 pm. Therefore, the train must have departed from New York at
7 pm - 14 hours = 7 pm - 7 hours - 7 hours = 12 pm - 7 hours = 5 am
“A train travels from New York to Chicago, a distance of approximately”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "The Official Guide for GMAT Quantitative Review". To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
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