Quantitative Aptitude Ques 1779

Question: Two cars A and B start simultaneously from a certain place at the speed of 30 km/h and 45 km/h, respectively. The car B reaches the destination 2 h earlier than A. What is the distance between the starting point and destination?

Options:

A) 90 km

B) 180 km

C) 270 km

D) 360 km

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the time taken by car B to reach destination be x h. So, the time taken by car A to reach destination is $ (x+2)h. $ Now $ S _1T _1=S _2T _2 $

$ \Rightarrow $ $ 30\times (x+2)=45\times x $

$ \Rightarrow $ $ 30x+60=45x $

$ \Rightarrow $ $ 15x=60 $

$ \therefore $ $ x=4h $ Now, distance between starting point and destination $ =S _2T _2=45\times 4=180km $

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