Four vehicles travelled on a road with constant velocities. The car
overtook the scooter at 12 o'clock, then met the bike at 14.00 and
the motorcycle at 16.00. The motorcycle met the scooter at 17.00
then it overtook the bike at 18.00. At what time did the bike and
the scooter meet?
Two trains set off at the same time from each end of a single
straight railway line. A very fast bee starts off in front of the
first train and flies continuously back and forth between the two
trains. How far does Sidney fly before he is squashed between the
Brian swims at twice the speed that a river is flowing, downstream
from one moored boat to another and back again, taking 12 minutes
altogether. How long would it have taken him in still water?
A security camera, which takes one picture each half a second,
films a cyclist going by at 8.5 miles per hour on a bike which has
wheels of diameter 24 inches. There is a reflector fixed to the
spokes of each wheel of the bike. Explain why it is that, in the
film, the cyclist appears to go forward while the wheels appear to
go backwards. If the cyclist goes a little faster the wheels appear
to be stationary. At what speed does this happen?
You will need to know that 1 mile = 1760 yards, 1 yard = 3 feet
and 1 foot = 12 inches to do this question. Can you also change the
numbers (not necessarily by direct conversion) to pose a similar
problem in metric units?