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During an exercise a column of soldiers were marching at a
constant speed. At the end of the column was a messenger. He was
commanded to proceed to the head of the column, deliver a dispatch
and return to his former position at the back of the column,
without delay.
On regaining his former position he noticed that the end of
the column was in the same position that the head of the column had
occupied when he first left his own position.
What is the ratio of the messenger's speed to that of the
column whilst this order was being carried out? (Assume that no
time was wasted in delivering the message or returning to his
former position.)
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Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.
At Holborn underground station there is a very long escalator. Two people are in a hurry and so climb the escalator as it is moving upwards, thus adding their speed to that of the moving steps. ... How many steps are there on the escalator?