Two taps fill a tank. One tap takes 6 minutes longer than the other to fill it alone. Together they fill it in 3 minutes. Their rates are constant.
Find the exact time each tap takes alone.
(4)
The slower tap is used alone for 3 minutes. Both taps are then used to finish filling the tank. Find the total time in exact form.
(3)
(Total for Question 1 is 7 marks)