SATHEE: Quantitative Aptitude Ques 989

Quantitative Aptitude Ques 989

Question: A moving train, 66 m long, overtakes another train of 88 m long, moving in the same direction in 0.168 min. If the second train is moving at 30 km/h, at what speed is the first train moving?

Options:

A) 85 km/h

B) 55 km/h

C) 50 km/h

D) 25 km/h

Show Answer

Answer:

Correct Answer: A

Solution:

Suppose the speed of first train $ =xm/\min . $ Speed of second train = 30 km/h $ =\frac{30\times 1000}{60}=500,m/\min $ Then, relative speed $ =(x-500)m/\min $ According to the question, $ Timetaken=\frac{Sumoflengthsoftrain}{Relativespeed} $ $ 0.168=\frac{66+88}{x-500} $

$ \Rightarrow $ $ 0.168x-84=66+88 $

$ \Rightarrow $ $ 0.168x=154+84=238 $

$ \Rightarrow $ $ x=\frac{238}{0.168}m/\min =\frac{238}{0.168}\times \frac{3}{50}\text{km/h} $

$ \Rightarrow $ $ x=85km/h $

Quantitative Aptitude Ques 988

Quantitative Aptitude Ques 990

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