**Question: **

Points A, P, Q and B lie on the same line such that P, Q and B are, respectively, 100 km, 200 km and 300 km away from A. Cars 1 and 2 leave A at the same time and move towards B. Simultaneously, car 3 leaves B and moves towards A. Car 3 meets car 1 at Q, and car 2 at P. If each car is moving in uniform speed then the ratio of the speed of car 2 to that of car 1 is

1 : 2 | |

2 : 9 | |

1 : 4 | |

2 : 7 |

**Show Answer**

Car 3 meets car 1 at Q, which is 200 km from A.

Therefore, at the time of their meeting car 1 must have travelled 200 km and car 3 must have travelled 100 km.

As the time is same, ratio of speed of car 1 to speed of car 3 = 2 : 1.

Car 3 meets car 2 at P, which is 100 km from A.

Therefore, at the time of their meeting car 2 must have travelled 100 km and car 3 must have travelled 200 km.

As the time is same, ratio of speed of car 2 to speed of car 3 = 1 : 2.

Speed of car 1 : speed of car 3 = 2 : 1

And speed of car 2 : speed of car 3 = 1 : 2

So, speed of car 1 : speed of car 2 : speed of car 3 = 4 : 1 : 2

CAT Online Course

**Also Check:**841+ CAT Quant Questions with Solutions

## CAT Quant Questions with Video Solutions

CAT Quant Questions Set 01CAT Quant Questions Set 02

CAT Quant Questions Set 03

CAT Quant Questions Set 04

CAT Quant Questions Set 05

CAT Quant Questions Set 06

#### CAT Quant Online Course

- 1000+ Practice Problems
- Detailed Theory of Every Topics
- Online Live Sessions for Doubt Clearing
- All Problems with Video Solutions

**CAT 2018 Questions Paper with Solution PDF **Download