SATHEE: Quantitative Aptitude Ques 1038

Quantitative Aptitude Ques 1038

Question: A plane left 30 min later than the scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/h from the usual speed. Its usual speed is [NICL and GIC (AO) 2013]

Options:

A) 720 km/h

B) 730 km/h

C) 740 km/h

D) 750 km/h

E) None of the above

Show Answer

Answer:

Correct Answer: D

Solution:

Usual speed of plane $ =xkm/h $

$ \therefore $ New speed $ =(x+250),km/h $

$ \therefore $ $ \frac{1500}{x}-\frac{1500}{x+250}=\frac{30}{60} $

$ \Rightarrow $ $ 1500( \frac{x+250-x}{x(x+250)} )=\frac{1}{2} $

$ \Rightarrow $ $ x(x+250)=1500\times 500=750000 $

$ \Rightarrow $ $ x(x+250)=750(750+250) $

$ \Rightarrow $ $ x=750km/h $

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Quantitative Aptitude Ques 1038

Question: A plane left 30 min later than the scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/h from the usual speed. Its usual speed is [NICL and GIC (AO) 2013]

Options:

Answer:

Solution:

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