Question : Sister can bake 50 cakes in 25 hours, and Sister and Mummy together can bake 75 cakes in 15 hours. Mummy can bake in 15 hours?
Option 1: 25
Option 2: 45
Option 3: 20
Option 4: 10
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Correct Answer: 45
Solution :
Time taken to bake 50 cakes by sister = 25 hours
Time taken to bake 75 cakes by mother and sister = 15 hours
The number of cakes Sister can bake in 1 hour = $\frac{50}{25}$ = 2
The number of cakes Sister and Mummy can bake in 1 hour = $\frac{75}{15}$ = 5
The number of cakes Mummy can bake in 1 hour = 5 – 2 = 3
The number of cakes Mummy can bake in 15 hours = 3 × 15 = 45
Hence, the correct answer is 45.
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