Quantitative Aptitude Ques 1678
Question: The ratio of the speeds of A and B is 3: 4. A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place.
Options:
A) 40 min and 30 min
B) 80 min and 60 min
C) 90 min and 45 min
D) 90 min and 50 min
E) None of the above
Show Answer
Answer:
Correct Answer: B
Solution:
- Ratio of speeds of A and B $ =3:4 $
$ \therefore $ Ratio of time taken $ =4:3 $
Let time taken by A and B be $ 4x $ and $ 3x, $ respectively.
Then, according to the question,
$ 4x-3x=20 $
$ \Rightarrow $ $ x=20 $
Hence, time taken by $ A=4\times 20=80\min $
and time taken by $ B=3\times 20=60\min $