Question : Akka can bake 100 cakes in 20 hours. Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?
Option 1: 25
Option 2: 50
Option 3: 30
Option 4: 75
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Correct Answer: 50
Solution :
Akka can bake 100 cakes in 20 hours.
$\therefore$ Cakes baked by Akka in 1 hour = $\frac{100}{20}$ = 5
Akka and Tai together can bake 75 cakes in 10 hours.
$\therefore$ Cakes baked by Akka and Tai in 1 hour = $\frac{75}{10}$ = 7.5
So, cakes baked by Tai in 1 hour = (7.5 – 5) = 2.5
$\therefore$ Cakes baked by Tai in 20 hours = (20 × 2.5) = 50
Hence, the correct answer is 50.
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