English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Direction Sensing
English and Logical Reasoning Prep Guide · Logical Reasoning · Direction Sensing
Directions: Study the following questions carefully and answer the...
Directions: Study the following questions carefully and answer the questions given below.
Two cars A and B, which are 500 km apart, start moving towards each other on a straight road at a certain point of time. The speed of car A is 57 km/hr and that of car B is 40 km/hr. After first hour car A which is moving from west to east takes a left turn, runs for 40 minutes and reaches point K whereas the other car which was moving from east to west, keeps running on the road till 1.5 hours and then takes a left turn, runs for half an hour and reaches point L. What is the difference between the vertical and horizontal distances between the two points K and L?
Options
- A383 Km
- B325 Km
- C357 Km
- DCan’t be determined
Correct answer
B. 325 Km
Step-by-step solution
Distance covered by car A in 1 hour = 57 Km
Distance covered by car B in 1.5 hours = 60 Km
Therefore, horizontal distance between points K and L = 500 − (57 + 60) = 383 Km
Distance covered by car A towards north = 57 x (2/3) = 38 Km
Distance covered by car B towards south = 40 x (1/2) = 20 Km
Therefore, vertical distance between points K and L = 38 + 20 = 58 Km
Hence, the required difference = 383 − 58 = 325 Km
Option B is hence the correct answer.
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