Correct Answer - Option 3 : 4 : 3
Given:
Journey time Train A = 12 hours
Journey time Train B = 16 hours
Formula used:
Speed = Distance/time
1 km/h = 5/18 m/s
Calculations:
Let the distance = 12 × 16 = 192 Km
⇒ Speed of Train A = 192/12 = 16 km/hr
⇒ Speed of Train B = 192/16 = 12 km/hr
⇒ Ratio of speed = 16 : 12
⇒ Ratio of speed = 4 : 3
∴ The Ratio of speed is 4 : 3
Note:
(If the time taken by taken two trains is given to complete the same distance then we can find directly the ratio of Speed of the train)
Ratio of speed of trains = 1/Ratio of time of train
Ratio of Time of trains = 12 : 16 = 3 : 4
Ratio of speed of train = 16: 12 = 4 : 3