Two trains are running in opposite directions on parallel tracks at the speeds of 42 km/h and 57 km/h, respectively. They take 18 seconds to cross each other. If the length of one train is 295 m, then the length (in m) of the other train is:
- A245
- B200
- C300
- D225
Solution & Step-by-step Explanation
Since the trains are moving in opposite directions, their relative speed is the sum of their individual speeds.
Relative Speed=42+57=99km/h
Convert relative speed into m/s:
Relative Speed=99×
18
5
=
2
11×5
=
2
55
m/s
Total distance covered while crossing each other = Sum of the lengths of both trains.
Total Distance=Relative Speed×Time
Total Distance=
2
55
×18=55×9=495m
Let the length of the other train be L.
295+L=495
L=495−295=200m
Relative Speed=42+57=99km/h
Convert relative speed into m/s:
Relative Speed=99×
18
5
=
2
11×5
=
2
55
m/s
Total distance covered while crossing each other = Sum of the lengths of both trains.
Total Distance=Relative Speed×Time
Total Distance=
2
55
×18=55×9=495m
Let the length of the other train be L.
295+L=495
L=495−295=200m