Two trains having length of 90m and 80m are moving in opposite direction (toward each other) at 20km/h and 14km/h respectively. Find the time taken to cross each other
Answers
Step-by-step explanation:
Given :-
Two trains having length of 90m and 80m are moving in opposite direction (toward each other) at 20km/h and 14km/h respectively.
To find:-
Find the time taken to cross each other ?
Solution:-
Given that :
Length of the first train = 90 m
Length of the second train = 80 m
Speed of the first train = 20 km/hr
Speed of the second train = 14 km/hr
Given that
Two trains are moving in opposite direction towards each other so
The relative speed of the trains = Sum of the speeds of two trains
=> 20+14 = 34 km/hr
=> 34×1000/(60×60) m/s
=> 34000/3600 m/s
=> 340/36 m/s
=> 85/9 m/s
Distance covered by each train = Sum of the lengths of the two trains
=> 90+80 = 170 m
We know that
Distance = Speed × Time
=> Time = Distance / Speed
=> Time taken to cross each other
=> 170/(85/9) sec
=> 170×(9/85)
=> 170×9/85
=>2×9
=> 18 sec
Required time = 18 sec
Answer:-
Time taken to cross each other for the given problem is 18 sec
Used formulae:-
- Distance = Speed × Time
- Two trains are moving in opposite direction towards each other so The relative speed of the trains = Sum of the speeds of two trains.
Length of the first train = 90 m
Length of the second train = 80 m
Speed of the first train = 20 km/hr
Speed of the second train = 14 km/hr
Given that
Two trains are moving in opposite direction towards each other so
The relative speed of the trains = Sum of the speeds of two trains
=> 20+14 = 34 km/hr
=> 34×1000/(60×60) m/s
=> 34000/3600 m/s
=> 340/36 m/s
=> 85/9 m/s
Distance covered by each train = Sum of the lengths of the two trains
=> 90+80 = 170 m
We know that
Distance = Speed × Time
=> Time = Distance / Speed
=> Time taken to cross each other
=> 170/(85/9) sec
=> 170×(9/85)
=> 170×9/85
=>2×9
=> 18 sec
Required time = 18 sec