Given below are two statements
Statement I:-
A 60 m long train passes a 90 m platform in 10 seconds. The speed of the train is 45 km/hour.
Statement II:-
If the ratio of the speeds of A and B is a : b, then the ratio of the time taken by them to cover the same distance is a : b.
In light of the above statements, choose the correct answer from the options given below:
- AOption (a)
Both Statement I and Statement II are false
- BOption (b)
Both Statement I and Statement II are true
- COption (c)
Statement I is false but Statement II is true
- DOption (d)
Statement I is true but Statement II is false
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Correct answer
Both Statement I and Statement II are false
Why this answer is correct
Formula Used:
Speed = Distance/ Time
Calculation:
Statement I:-
Total distance = Length of the train + Length of the platform
Total distance = 60 m + 90 m = 150 m
Time = 10 seconds
Speed = 150/10 = 15 m/sec.
⇒ 15 × \(\frac{3600}{1000}\) = 54 km/hr.
The given statement is incorrect.
Statement II:
If the distance is same, then the ratio of the speed is a : b and the ratio of the time is b ∶ a.
The given statement is incorrect.
The correct option is 1 i.e.Both Statement I and Statement II are false.