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Q1. (a) The normal hourly rate of pay of a certain worker between 9 am and 5 pm is £x.

For each hour he works in the evening he is paid one and a half times his normal rate.

For each hour he works at weekends he is paid twice his normal rate.

In one particular week he works 53 hours. This consisted of 40 hours at the normal daily rate with 5 hours worked in the evening and 8 hours worked at the weekend.

He was paid a total of £584.20 for that week’s work.

Calculate his normal daily hourly rate of pay. (8)

(b) A formula used in connection with close coiled helical springs is:

P = (GFd⁵)/(8hD³ )

Determine the approximate percentage change in P if d is increased by 2% and D is decreased by 3%. (8)