Quantitative Aptitude Ques 1590

Question: Amit walks at a uniform speed of 4 km/h and 4 h after his start, Brijesh cycles after him at the uniform rate of 20 km/h. How far from the starting point will Brijesh catch Amit?

Options:

A) 15 km

B) 18 km

C) 13 km

D) 20 km

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let Brijesh catches Amit after $ xh, $ Then, distance travelled by Amit in $ (x+4)h $ = Distance travelled by Brijesh in $ xh. $ According to the question, $ 4(x+4)=20x $

$ \Rightarrow $ $ 4x+16=20x $
$ \Rightarrow $ $ 16x=16 $

$ \therefore $ $ x=\frac{16}{16}=1 $ Distance travelled by Brijesh in $ 1h=(1\times 20)km=20km $