Two men set out at the same time to walk towardo each other from point3 A and B 72 km apart. The first man walks at the speed of 4 kmph while the second walks 2 km in the first hour, 2j km in the second hour, 3 km in the third hour, and so on. The two men

examrobotsa's picture

Submitted by examrobotsa on

Q: 70 (CAPF/2017)
Two men set out at the same time to walk towardo each other from point3 A and B 72 km apart. The first man walks at the speed of 4 kmph while the second walks 2 km in the first hour, 2j km in the second hour, 3 km in the third hour, and so on. The two men will mfifif

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,3,7,3,1,3,3

keywords: 

{'third hour': [0, 0, 0, 1], 'second hour': [0, 0, 0, 1], '2j km': [0, 0, 0, 1], 'speed': [0, 1, 2, 0], 'men': [4, 3, 12, 9], 'km': [0, 0, 2, 1], 'hours': [7, 2, 16, 9], 'midway': [0, 0, 0, 1], 'first hour': [1, 0, 1, 1], 'first man': [1, 0, 1, 1], 'same time': [0, 0, 1, 1]}

The correct answer is option 4 - midway between A and B.

Let`s analyze each option to understand why option 4 is correct:

Option 1: The first man walks at a speed of 4 kmph. In 8 hours, he would have covered a distance of 4 * 8 = 32 km. The second man`s speed is irrelevant in this option. Since the total distance between A and B is 72 km, both men would not have reached the midpoint of the distance in 8 hours. Therefore, option 1 is incorrect.

Option 2: If the first man is nearer to point A, it means that the second man has walked slower than the first man. However, the given information states that the second man`s speed increases with each hour. Therefore, option 2 is incorrect.

Option 3: Similar to option 2, if the second man is nearer to point B, it means that the first man has walked slower than the second man. However, the first man`s speed is constant. Therefore, option 3 is incorrect.

Option 4: Since the second man`s speed increases with each hour, his total distance covered will be ever closer to the first man`s distance. Eventually, they will meet at