SATHEE: Quantitative Aptitude Ques 1925

Quantitative Aptitude Ques 1925

Question: The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for 2 h on reaching the destination. The total time taken to complete to and fro journey is 32 h, covering a distance of 1600 km. Find the speed of the train in the onward journey.

Options:

A) 56.25 km/h

B) 60 km/h

C) 66.50 km/h

D) 67 km/h

Show Answer

Answer:

Correct Answer: B

Solution:

Let speed in the return journey $ =x $

$ \therefore $ Speed in onward journey $ =\frac{125}{100}x=( \frac{5}{4}x )km/h $ Average speed $ =\frac{2\times \frac{5}{4}x\times x}{\frac{5}{4}x+x}=\frac{10x}{9}km/h $

$ \Rightarrow $ $ 1600\times \frac{9}{10x}=30 $ [since, train halts for 2 h]

$ \therefore $ $ x=\frac{1600\times 9}{30\times 10}=48km/h $

$ \therefore $ Speed in onward journey $ =\frac{5}{4}x=\frac{5}{4}\times 48=60km/h $

Quantitative Aptitude Ques 1924

Quantitative Aptitude Ques 1926

Quantitative Aptitude Ques 1925

Options:

Answer:

Solution:

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