Book Maths Puzzle Numerical Ability Algebra

"The steamer," remarked one of our officers home from the East, "was able to go twenty miles an hour downstream, but could only do fifteen miles an hour upstream. So, of course, she took five hours longer in coming up than in going down." One could not resist working out mentally the distance from point to point. What was it?

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Twelve soldiers had to get to a place twenty miles distant with the quickest possible dispatch, and all had to arrive at exactly the same time. They requisitioned the services of a man with a small car. "I can do twenty miles an hour," he said, "but I cannot carry more than four men at a time. At what rate can you walk?" "All of us can do a steady four miles an hour," they replied. "Very well," exclaimed the driver, "then I will go ahead with four men, drop them somewhere on the road to walk, then return and pick up four more (who will be somewhere on the road), drop them also, and return for the last four. So all you have to do is to keep walking while you are on your feet, and I will do the res t." They started at noon. What was the exact time that they all arrived together? Colonel Crackham says that his friend, Mr. Wilkinson, walks from his country house into the neighboring town at the rate of five miles per hour, and, because he is a little tired, he makes the return journey at the rate of three miles per hour. The double journey takes him exactly seven hours. Can you tell the distance from his house to the town?