Q2. [Maximum mark: 6] Ann and John go to a swimming pool.
They both swim the first length of the pool in 2 minutes.
The time John takes to swim a length is 6 seconds more than he took to swim the previous length.
The time Ann takes to swim a length in 1.05 times that she took to swim the previous length.
(a) Find the time John takes to swim the third length.

(1)

(b) Show that Ann takes 2.205 minutes to swim the third length.

(2)

(c) Find the time taken for Ann to swim a total of 10 lengths of the pool.