Quantity I The ratio between the speeds of two trains is 7 8 If the second train runs 400 km in 4 ho...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

Quantity II: Find the speed of a train which passes a tree in 12 seconds. The length of the train is 264m.

Quantity I > Quantity II

Quantity I ≥ Quantity II

Quantity II > Quantity I

Quantity II ≥ Quantity I

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Explanation:

I. Let the speed of two trains be 7x and 8x.
400/4=100
8x=100==>x=12.5.
Then speed of first train =7*12.5 =87.5km/hr.
II. Length of the train = 264m.
Time taken to pass the tree = 12 seconds.
Speed of the train = 264/12 m/sec = 22 m/sec

= 22 * 18/5 km/hr = 79.2 km/hr.

Hence, option 1 is the correct answer.