You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
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Question: Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?

 Option A: 3:4

 Option B: 7:6

 Option C: 1:4

 Option D: 5:4

 Option E: 2:4

Answer: Option A


Question: Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?

 Option A: 70

 Option B: 65

 Option C: 75

 Option D: 85

 Option E: 80

Answer: Option E


Question: Question: Niall's income is 60% less than Rex's income, and Sam's income is 25% less than Niall's income. If Rex gave 60% of his income to Sam and 40% of his income to Niall, Niall's new income would be what fraction of Sam's new income?

 Option A: 8/9

 Option B: 11/12

 Option C: 8/13

 Option D: 11/13

 Option E: 12/13

Answer:
Option A