Quantitative Aptitude Ques 603

Question: A student goes to school at the rate of $ 2\frac{1}{2}km/h $ and reaches 6 min late. If he travels at the speed of $ 3km/h $ he is 10 min early. What is the distance to the school?

Options:

A) $ 4km $

B) $ 3\frac{1}{2}km/h $

C) $ 1km $

D) $ 3\frac{1}{2}km $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let distance of the school be x km. According to the question, $ \frac{x}{5/2}-\frac{x}{3}=\frac{16}{60} $

$ \Rightarrow $ $ \frac{2x}{5}-\frac{x}{3}=\frac{4}{15} $

$ \Rightarrow $ $ \frac{6x-5x}{15}=\frac{4}{15} $

$ \therefore $ $ x=4km $