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16 Sep 2014, 00:34
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C
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Difficulty:
35%
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Question Stats:
74% (02:26) correct
26%
(02:42)
wrong
based on 706
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A train traveling at a consistent speed takes 30 seconds more to cover 2 kilometers than what it would take to cover 4 kilometers at a speed of 120 kilometers per hour. What is the speed of the train in kilometers per hour?
A. 24
B. 40
C. 48
D. 96
E. 120
A. 24
B. 40
C. 48
D. 96
E. 120
16 Sep 2014, 00:34
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Official Solution:
A train traveling at a consistent speed takes 30 seconds more to cover 2 kilometers than what it would take to cover 4 kilometers at a speed of 120 kilometers per hour. What is the speed of the train in kilometers per hour?
A. 24
B. 40
C. 48
D. 96
E. 120
The time required to travel 4 kilometers at 120 kilometers per hour is given by \(\text{time} = \frac{\text{distance}}{\text{rate}} = \frac{4}{120}\) hours or \( \frac{4}{120}*3,600 = 120\) seconds.
The time required to travel 2 kilometers at the train's consistent speed is \(120 + 30 = 150\) seconds, or \(\frac{150}{3,600} = \frac{1}{24}\) hours.
Thus, the speed of the train is \(\text{rate} = \frac{\text{distance}}{\text{time}} = \frac{2}{(1/24)} = 48\) kilometers per hour.
Answer: C
A train traveling at a consistent speed takes 30 seconds more to cover 2 kilometers than what it would take to cover 4 kilometers at a speed of 120 kilometers per hour. What is the speed of the train in kilometers per hour?
A. 24
B. 40
C. 48
D. 96
E. 120
The time required to travel 4 kilometers at 120 kilometers per hour is given by \(\text{time} = \frac{\text{distance}}{\text{rate}} = \frac{4}{120}\) hours or \( \frac{4}{120}*3,600 = 120\) seconds.
The time required to travel 2 kilometers at the train's consistent speed is \(120 + 30 = 150\) seconds, or \(\frac{150}{3,600} = \frac{1}{24}\) hours.
Thus, the speed of the train is \(\text{rate} = \frac{\text{distance}}{\text{time}} = \frac{2}{(1/24)} = 48\) kilometers per hour.
Answer: C
