self Maths Puzzle

A train running @ 54kmph takes 20sec to pass a platform. Next it takes 12secs to pass a man walking @ 16kmph in same direction in which the train is going. Find the length of train and that of platform

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self Other Question

A wheel rotates 3.5 times in one second. What time(in seconds) does the wheel take to rotate 55 radian of angle? You've been asked to buy 100 buttons, using 100 rs to do so. You may buy no more or less than 100 buttons, and the total price must be exactly 100 rs. There is no sales tax. Red buttons cost Rs6.00. Yellow buttons cost Rs3.00. Blue buttons cost Rs 0.10. How many of each must you buy?