Ann and Bob own a room-painting service in Canada. If Bob works alone, he can pa

Question

Ann and Bob own a room-painting service in Canada. If Bob works alone, he can paint 2 rooms in 5 hours. If Ann works alone, she can paint 6 rooms in 8 hours. When they work together, they charge $CAD212 per room. If they work together, how many hours will they need to work in order to earn the Canadian equivalent of £30346 (British Pounds)?

Use the following currency conversion table:

Country Currency US Equivalent Currency per US$1 Canada Canadian Dollar (CAD$) 0.78833 1.26850 UK Pound (£) 1.34754 0.74209

Explanation / Answer

let us say they both work for x hours

in x hours Bob can do 2x/5 rooms

Ann can do 6x/8 rooms

hence total = (0.4 + 0.75)x = 1.15 x

pay = 1.15 *x * 212 CAD = 212 * 1.15 *x *0.78833 US = 212 * 1.15 *x *0.78833/1.34754 pound

hence 212 * 1.15 *x *0.78833/1.34754 = 30346

x = 212.766

1.15

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