A 100 metres long train is moving at 50 km/hr. An another train 120 metres
long is moving in opposite direction and crosses each other in 6 seconds.
Find the speed of the second train ?
Answers
Given that:
- Length of first train = 100 m
- Speed of first train = 50 km/hr
- Length of second train = 120 m
- Speed of second train be x km/hr.
- Total time taken = 6 seconds
To Find:
The speed of the second train.
We know that:
- Distance = Speed × Time
We have:
Distance = Length of first train + Length of second train
↠ Distance = (100 + 120) = 220 m
Speed = Speed of first train + Speed of second train
↠ Speed = (50 + x) km/hr
Converting speed into m/sec:
- 1 km/hr = 5/18 m/sec
- (50 + x) km/hr = (50 + x) × 5/18 m/sec
↠ Time = 6 sec
Finding the speed of second train:
↣ 220 = (50 + x) × 5/18 × 6
↣ 220 × 18 = (50 + x) × 5 × 6
↣ 3960 = 1500 + 30x
↣ 3960 - 1500 = 30x
↣ 2460 = 30x
↣ 2460/30 = x
↣ 82 = x
↣ x = 82
Hence,
- The speed of the second train is 82 km/hr.
Answer:
Given :-
- A 100 metres long train is moving at 50 km/hr. An another train 120 metres long is moving in opposite direction and crosses each other in 6 seconds.
To Find :-
- What is the speed of the second train.
Solution :-
Let,
The speed of the second train = y km/hr
First, we have to find the total distance :
Now, we have to find the total speed :
Now, we have to convert the speed km/hr into m/s :
According to the question,
The speed of the second train is 82 km/hr .