5. Consider a proper fraction such that the numerator is 2 less than the denominator. If the numerator and denominator are each increased by 1, then the ratio of the numerator and denominator of the new fraction is 4:5. Determine the original fraction. (4 marks) 7. A tank containing 50 litres of water develops a leak and loses water at a constant rate. After 20 minutes it contains 40 litres. After a further 30 minutes the tank is 5% of its full capacity. Determine the tank’s capacity. (3 marks)

8. The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three times Mary’s age was 3 years more than twice Jane’s age. Determine their current ages. (6 marks)

10. Tom and Harry, working together, can perform a task in 2 hours and 24 minutes. Harry and Harry, working together can perform the same task in 3 hours and 36 minutes. If Harry works alone, he can complete the task in 6 hours. How long will it take Tom and Harry perform the task working together? (7 marks)