Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.
Quantity I: A goods train can cross a station master standing on a platform in 42 seconds whereas it can cross the platform in 18 seconds less than two minutes. Find the length of the platform if the train is 420m long.
Quantity II: In 30 seconds a train crosses a tree at a speed of 30 m/s. If it crosses another train, whose speed is one-third of the first train, moving in the same direction in 20 s more than a minute, find the length of the second train.
1
Quantity I < Quantity II
2
Quantity I > Quantity II
3
Quantity I ≥ Quantity II
4
Quantity I ≤ Quantity II
5
Quantity I = Quantity II or relation cannot be established.