28 Arithmetic & Algebraic Problems
- OUT AND HOME
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?
92. THE MEETING CARS
The Crackhams made their first stop at Bugleminster, where they were to
spend the night at a friend's house. This friend was to leave home at the
same time and ride to London to put up at the Crackhams' house. They took
the same route, and each car went at its own uniform speed. They kept a
look-out for one another, and met forty miles from Bugleminster. George
that evening worked out the following little puzzle:
"I find that if, on our respective arrivals, we had each at once proceeded
on the return, journey at the same speeds we should meet at forty-eight miles
from London."
If this were so, what is the distance from London to Bugleminster?
- A BICYCLE RACE
Two cyclists race on a circular track. Brown can ride once round the track
in six minutes, and Robinson in four minutes. In how many minutes will
Robinson overtake Brown?
- A LITTLE TRAIN PUZZLE
A nonstop express going sixty miles an hour starts from Bustletown for
Ironchester, and another nonstop express going forty miles an hour starts at
the same time from Ironchester for Bustletown. How far apart are they
exactly an hour before they meet?
Because I have failed to find these cities on any map or in any gazetteer, I
cannot state the distance between them, so we will just assume that it is more
than 250 miles.