Homwork (Problem Solving)
1. A prison has two towers with rotating floodlights. Floodlight Y takes 30 seconds to complete a revolution while Floodlight X takes 20 seconds. At a certain instance, both floodflights shine at a spot 𝐶. When will both the floodflights shine again simultaneously on spot 𝐶?
2. Two lighthouses can be seen from the top of a hill. The first flashes once every 4 seconds, and the other flashes once every 20 seconds. If they flash at the same time, how long will it be until they flash at the same time again?
3.Three bells toll at intervals of 5, 6 and 8 seconds respectively. If they start to ring at the same instant, how long will it take before they will again ring together?
4. Express
2. Two lighthouses can be seen from the top of a hill. The first flashes once every 4 seconds, and the other flashes once every 20 seconds. If they flash at the same time, how long will it be until they flash at the same time again?
3.Three bells toll at intervals of 5, 6 and 8 seconds respectively. If they start to ring at the same instant, how long will it take before they will again ring together?
4. Express
a. 7.2 m2 in cm2
b. 2.04 m2 in cm2
c. 1000 cm2 in m2
d. 1800 cm2 in m2
5. The cylinder has a diameter of 14 cm and a height of 18 cm. Calculate the total surface area and volume of the cylinder. Take 𝜋=3.142 and give your answer in m2,, correct to 3 significant figures.
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