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It takes 10s and 15s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is _____.
- a)2.0
- b)10.0
- c)12.0
- d)22.0
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
It takes 10s and 15s, respectively, for two trains travelling at diffe...
To solve this problem, we can use the formula:
Speed = Distance / Time
Given:
Length of first train (L1) = 120 m
Length of second train (L2) = 150 m
Time taken by first train to pass the telegraph post (T1) = 10 s
Time taken by second train to pass the telegraph post (T2) = 15 s
Let's calculate the speeds of the two trains first.
Speed of first train (S1) = L1 / T1 = 120 / 10 = 12 m/s
Speed of second train (S2) = L2 / T2 = 150 / 15 = 10 m/s
Now, let's calculate the magnitude of the difference in speeds.
Magnitude of the difference in speeds = |S1 - S2|
Substituting the values, we get:
Magnitude of the difference in speeds = |12 - 10| = 2 m/s
Therefore, the correct answer is option A) 2.0.
Speed = Distance / Time
Given:
Length of first train (L1) = 120 m
Length of second train (L2) = 150 m
Time taken by first train to pass the telegraph post (T1) = 10 s
Time taken by second train to pass the telegraph post (T2) = 15 s
Let's calculate the speeds of the two trains first.
Speed of first train (S1) = L1 / T1 = 120 / 10 = 12 m/s
Speed of second train (S2) = L2 / T2 = 150 / 15 = 10 m/s
Now, let's calculate the magnitude of the difference in speeds.
Magnitude of the difference in speeds = |S1 - S2|
Substituting the values, we get:
Magnitude of the difference in speeds = |12 - 10| = 2 m/s
Therefore, the correct answer is option A) 2.0.
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Community Answer
It takes 10s and 15s, respectively, for two trains travelling at diffe...
Speed = length / time
⇒ length = speed x time
120 = 10 x s1 ⇒ s1 = 12
150 = 15 x s2 ⇒ s2 = 10
|s1 - s2| = 2
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It takes 10s and 15s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is _____.a)2.0b)10.0c)12.0d)22.0Correct answer is option 'A'. Can you explain this answer?
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