Question : A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in $1\frac{1}{2}$ hours will be covered by A in:
Option 1: 15 minutes
Option 2: 20 minutes
Option 3: 30 minutes
Option 4: 1 hour
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Correct Answer: 15 minutes
Solution :
Given: That A is twice as fast as B and B is thrice as fast as C, it means that A is six times (2 × 3) as fast as C.
$\text{Time}=\frac{\text{Distance}}{{\text{Speed}}}$
If C covers a journey in $1\frac{1}{2}$ hours or $\frac{3}{2}$ hours, then A, being six times faster, will cover the same journey in $\frac{3}{2 × 6} = \frac{1}{4}$ hours.
So, A will cover the journey in $\frac{1}{4}$ hours or $\frac{1}{4}$ × 60 minutes = 15 minutes.
Hence, the correct answer is 15 minutes.
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