RRB ALP 2013 Ques 54

Question: Walking at three-fourth of his usual speed, a man covers a certain distance in 2 hours more than the time he takes to cover the distance at his usual speed. The time taken by him to cover the same distance with his usual speed is:

Options:

A) 4.5 hr.

B) 5.5 hr.

C) 6 hr.

D) 5 hr.

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the usual speed be $ xkm/hr $ and time taken by usual speed by $ y $ hour $ \because $ $ x\times y=\frac{3}{4}x(y+2) $

$ \Rightarrow $ $ 4xy=3xy+6x $

$ \Rightarrow $ $ xy=6x $

$ \therefore $ $ y=6hours $