Correct Answer - Option 2 : 1:00 pm
Given:
Speed of train A = 70 km/hr
Speed of train B = 80 km/hr
Train A starts at 9 am
Train B starts at 10:30 am
Distance between Delhi and Chandigarh = 480 km
Concept used:
Relative speed is defined as the speed of a moving object with respect to another. When two objects are moving in the same direction, relative speed is calculated as their difference. When the two objects are moving in opposite directions, relative speed is computed by adding the two speeds.
Formula used:
Distance = Time × Speed
Calculation:
Train A starts at 9 am
Train B starts at 10:30 am
Distance covered by Train A between 9 am and 10:30 am
Speed of Train A = 70 km/hr
Time between 10:30 am and 9 am = 1.5 hours
Distance covered by A in 1.5 hours = 70 × 1.5
⇒ Distance covered by A till 10:30 am = 105 km
Now, Total distance = 480 km
Distance already covered by A = 105 km
Now, Distance to be covered = (480 – 105) km
⇒ Distance to be covered = 375 km
Now, both trains will cover this distance and both trains are running in opposite direction
So, when the two objects are moving in opposite directions, relative speed is computed by adding the two speeds
⇒ Relative speed = (70 + 80) = 150 km/hr
Distance to be covered = 375 km
Time taken to meet = 375/150
⇒ Time taken to meet = 2.5 hours
⇒ The time at which both trains will meet = (10:30 + 2:30)
⇒ Both trains will meet at =
1 pm