16 Arithmetic & Algebraic Problems- AT RIGHT ANGLES
Rackbrane asked his young friends at the breakfast table one morning this
little question:
"How soon between the hours of five and six will the hour and minute
hands of a clock be exactly at right angles?"
- WESTMINSTER CLOCK
A man crossed over Westminster Bridge one morning between eight and
nine oclock by the tower clock (often mistakenly called Big Ben, which is the
name of the large bell only, but this by the way). On his return between four
and five oclock he noticed that the hands were exactly reversed. What were
the exact times that he made the two crossings?- HILL CLIMBING
Weary Willie went up a certain hill at the rate of one and a half miles per
hour and came down at the rate of four and a half miles per hour, so that it
took him just six hours to make the double journey. How far was it to the top
of the hill?- TIMING THE CAR
"I was walking along the road at three and a half miles an hour," said Mr.
Pipkins, "when the car dashed past me and only missed me by a few inches."
"Do you know at what speed it was going?" asked his friend.
"Well, from the moment it passed me to its disappearance round a corner
took twenty-seven steps and walking on reached that corner with one
hundred and thirty-five steps more."
"Then, assuming that you walked, and the car ran, each at a uniform rate,
we can easily work out the speed."58. THE STAIRCASE RACE
This is a rough sketch of the finish of a race up a staircase in which three
men took part. Ackworth, who is leading, went up three steps at a time, as
arranged; Barnden, the second man, went four steps at a time, and Croft, who