Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is
Correct Answer: 12
Let the distance between A and B be 4x.
Length of BP is thrice the length of AP.
=> AP = x and BP = 3x
Let the speed of car 1 be s and the speed of car 2 be 0.5s.
Car 2 reaches P one hour (60 minutes) after Car 1 reaches P.
=> x/s + 60 = 3x/0.5s
x/s + 60 = 6x/s
5x/s = 60
x/s = 12
Time taken by car 1 in reaching P from A = x/s = 12 minutes.
Therefore, 12 is the correct answer.
CAT Quant Questions with Video SolutionsCAT Quant Questions Set 01
CAT 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