SATHEE: Quantitative Aptitude Ques 92

Quantitative Aptitude Ques 92

Question: A is twice as fast as B and B is thrice as fast as C. The journey covered by C in $ 1\frac{1}{2}h $ will be covered by A in

Options:

A) 15 min

B) 20 min

C) 30 min

D) 1 h

Show Answer

Answer:

Correct Answer: A

Solution:

Let distance covered by A, B and C be d. Now, let speed of A = 6x and speed of C = x

$ \therefore $ speed of B = 3x

$ \therefore $ This distance is covered by C in $ 1\frac{1}{2}h=\frac{3}{2}h=9\min $

$ \therefore $ Time taken to covered this distance by $ C\text{=}\frac{Distance}{Speed} $

$ \Rightarrow $ $ Time=\frac{d}{x} $
$ \Rightarrow $ $ 90=\frac{d}{x} $

$ \Rightarrow $ $ x=\frac{d}{90} $ (i) Now, time taken to covered this distance by A.

$ \Rightarrow $ $ Time=\frac{Distance}{Speed} $

$ \Rightarrow $ $ Time=\frac{d}{6x}=\frac{d}{6\times \frac{d}{90}} $ [from Eq. (i)]

$ \Rightarrow $ $ Time=\frac{d\times 90}{6\times d}=\frac{90}{6}=15\min $

Quantitative Aptitude Ques 91

Quantitative Aptitude Ques 93

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