Consider total distance between Chennai and Bangalore is 300 kms. Train A starts at 2:00 PM, travels at a constant speed of 100 kms / hr. from Chennai to Bangalore and Train B starts at 2:00 PM travels at a constant speed of 50 kms / hr. from Bangalore to Chennai. At what time both the trains meet and at what distance from Chennai they meet?
Answers
Given data : Consider total distance between Chennai and Bangalore is 300 km.
- Train A starts at 2:00 PM, travels at a constant speed of 100 km/hr from Chennai to Bangalore.
- Train B starts at 2:00 PM, travels at a constant speed of 50 km/hr from Bangalore to Chennai.
To find : What time both the trains meet and at what distance from Chennai they meet ?
Solution :
Here, according to given,
- Speed of train A = 100 km/hr
- Speed of train B = 50 km/hr
Now, to find the time of both trains at which they meet.
⟹ Speed of train (A + B) = Distance/time
{ Where,
- Distance = distance covered by train A and B }
⟹ 100 + 50 = 300/Time
⟹ 150 = 300/Time
⟹ Time = 300/150
⟹ Time = 2 hour
Hence, train A and B meet after 2 hour, according to given after 2 hour mean 4 PM.
Hence, train A and B meet at 4 PM.
Here, we know train A start moving forward from Chennai. { Trains take 2 hours for meeting from starting }
Now,
⟹ Speed of train A = Distance/Time
⟹ 100 = Distance/2
⟹ Distance = 100 * 2
⟹ Distance = 200 km
Hence, train A and B meet at 200 km from Chennai.
Answer : Train A and B meet after 2 hour after start moving and train A and B meet at 200 km from Chennai.
Answer:
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