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Train A starts moving from Station X towards station Y at a constant

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Bunuel
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Train A starts moving from Station X towards station Y at a constant [#permalink] New post   01 Oct 2019, 02:18
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Train A starts moving from Station X towards station Y at a constant rate of 50 miles per hour at 1:00 pm. Train B starts moving from Station Y towards station X at a constant rate of 40 miles per hour at 2:00 pm, the same day. If the trains move on parallel tracks and meet at midnight, what is the distance between Station X and Station Y?

A. 850 miles
B. 900 miles
C. 950 miles
D. 1000 miles
E. 1050 miles


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Bunuel
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Re: Train A starts moving from Station X towards station Y at a constant [#permalink] New post   06 Dec 2021, 06:47
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Train A starts moving from Station X towards station Y at a constant rate of 50 miles per hour at 1:00 pm. Train B starts moving from Station Y towards station X at a constant rate of 40 miles per hour at 2:00 pm, the same day. If the trains move on parallel tracks and meet at midnight, what is the distance between Station X and Station Y?


A. 850 miles
B. 900 miles
C. 950 miles
D. 1000 miles
E. 1050 miles


Since the trains meet at midnight, then train A has traveled for 11 hours, and train B traveled for 10 hours. So, the total distance covered by the trains together is:

\(50 * 11 + 40 * 10 =950 \)


Answer: C
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Re: Train A starts moving from Station X towards station Y at a constant [#permalink] New post   01 Oct 2019, 02:54
Train A
X—>Y
01:00 p.m —> 00:00 —11 hours
Speed =50 mph —> 50*11=550

Train B
Y—>X
02:00 p.m—> 00:00 —10 hours
Speed=40 mph —> 40*10=400

400+550 = 950 miles
(Between X and Y)
The answer is C

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Re: Train A starts moving from Station X towards station Y at a constant [#permalink] New post   01 Oct 2019, 09:21
Bunuel wrote:
Train A starts moving from Station X towards station Y at a constant rate of 50 miles per hour at 1:00 pm. Train B starts moving from Station Y towards station X at a constant rate of 40 miles per hour at 2:00 pm, the same day. If the trains move on parallel tracks and meet at midnight, what is the distance between Station X and Station Y?

A. 850 miles
B. 900 miles
C. 950 miles
D. 1000 miles
E. 1050 miles


distance covered by train A from 1 pm to midnight ; 50*11 ; 550 miles
distance covered by train A fro 2 pm to midnight ; 40*10 ; 400 miles
total distance relative travelled by both ; 550+400 ; 950 miles
IMO C
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Re: Train A starts moving from Station X towards station Y at a constant [#permalink] New post   05 Oct 2019, 16:48
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Bunuel wrote:
Train A starts moving from Station X towards station Y at a constant rate of 50 miles per hour at 1:00 pm. Train B starts moving from Station Y towards station X at a constant rate of 40 miles per hour at 2:00 pm, the same day. If the trains move on parallel tracks and meet at midnight, what is the distance between Station X and Station Y?

A. 850 miles
B. 900 miles
C. 950 miles
D. 1000 miles
E. 1050 miles


Since the trains meet at midnight, train A has traveled for 11 hours, and train B for 10 hours. We can create the distance equation:

50 * 11 + 40 * 10 = total distance

550 + 400 = total distance

950 = total distance

Answer: C
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Re: Train A starts moving from Station X towards station Y at a constant [#permalink] New post   17 Jan 2024, 05:39
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Re: Train A starts moving from Station X towards station Y at a constant [#permalink]
17 Jan 2024, 05:39
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