exam Maths Puzzle Numerical Ability

a car leaves columbia heading east at 50 mph. one hour later a bus leaves columbia heading east at 65 mph. how long will it take for the second car to catch up with the first.

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please help me in this problem
for each of the following find constant c so that f(X) satisfies the condition of being apdf of one random variable x
1.f(X)=c(2/3)^x , x=1,2,3,...., zero elsewhere.
2.f(X)=cx, x=1,2,3,4,5,6 , zero elsewhere two trains leave a station at the same time,heading in opposite directions.one train is traveling at 80km/h,the other at 90km/h.how long will it take for the trains to be 425km apart?