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31 Jan 2022, 02:30
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A train traveling at a speed of 81 mph overtakes a freight train traveling at a speed of 45 mph in 3 minutes. If the length of the train is 1100 meters, what is the length of the freight train?
A. 1100
B. 1440
C. 1780
D. 1880
E. 2880
Are You Up For the Challenge: 700 Level Questions
A. 1100
B. 1440
C. 1780
D. 1880
E. 2880
Are You Up For the Challenge: 700 Level Questions
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
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31 Jan 2022, 03:03
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Given train travels at 81 miles per hour and it overtakes a freight train which is traveling at 45 miles per hour
So essentially our given train is traveling at a relative speed of (81-45) = 36 miles per hour
36 miles per hour = 36 miles in 60 minutes = 0.6 miles in a minute = 1.8 miles in 3 minutes
Total distance covered in 3 minutes = 1.8 miles = 1.8*1.6 kms = 2.88 kms = 2880 m
Total distance covered = Length of the original train + Length of the freight train
Hence, the required value of the length of freight train = 2880 - 1100 = 1780 m
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So essentially our given train is traveling at a relative speed of (81-45) = 36 miles per hour
36 miles per hour = 36 miles in 60 minutes = 0.6 miles in a minute = 1.8 miles in 3 minutes
Total distance covered in 3 minutes = 1.8 miles = 1.8*1.6 kms = 2.88 kms = 2880 m
Total distance covered = Length of the original train + Length of the freight train
Hence, the required value of the length of freight train = 2880 - 1100 = 1780 m
Posted from my mobile device
31 Jan 2022, 17:23
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Bunuel
A train traveling at a speed of 81 mph overtakes a freight train traveling at a speed of 45 mph in 3 minutes. If the length of the train is 1100 meters, what is the length of the freight train?
A. 1100
B. 1440
C. 1780
D. 1880
E. 2880
A. 1100
B. 1440
C. 1780
D. 1880
E. 2880
Breaking Down the Info:
The train is faster by \(81 - 45 = 36\) mph, so the distance created by traveling at that speed for 3 min is \(36 \text{ mph} * \frac{1}{20} \text{ hours} = 1.8 \text{ miles} = 1.8 \text{ miles} * \frac{1600 \text{ m} }{ 1 \text{ mile}} = 2880 \text{ m}\).
This would be the entire overtake length, which is the length of both trains added up. Then subtract 1100 meters to get the faster train is 1780 meters long,
Answer: C
