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Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.?
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Wilson starts for office at the same time every day. If he walks at 5 ...
Given information:
- Wilson starts for office at the same time every day.
- If he walks at 5 kmph, he is 2 minutes late.
- If he walks at 10 kmph, he is 4 minutes early.
To find:
- Wilson's correct speed to reach on time.
- The distance to his office.
Assumptions:
- Wilson takes the same route to the office every day.
- The time taken to walk to the office is the same for both speeds.
Solution:
Let's assume the distance to Wilson's office is 'd' km.
Case 1: Walking at 5 kmph
Since Wilson is 2 minutes late, the time taken to walk to the office at 5 kmph is given by:
Time = Distance/Speed = d/5
Case 2: Walking at 10 kmph
Since Wilson is 4 minutes early, the time taken to walk to the office at 10 kmph is given by:
Time = Distance/Speed = d/10
Equation 1:
According to the given information, Wilson takes 2 minutes less than the time taken at 5 kmph.
So, we have the equation: d/10 = d/5 - 2/60
Equation 2:
According to the given information, Wilson takes 4 minutes less than the time taken at 10 kmph.
So, we have the equation: d/5 = d/10 + 4/60
Solving the Equations:
By solving equations 1 and 2, we can find the value of 'd' and Wilson's correct speed.
Multiplying equation 1 by 2, we get: 2d/10 = 2d/5 - 4/60
Simplifying, we have: d/5 = d/5 - 4/60
Combining like terms, we get: 0 = -4/60
This equation has no solution, which means there is no distance 'd' for which Wilson can reach the office on time.
Therefore, it is not possible to determine Wilson's correct speed and the distance to his office based on the given information.
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Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.?
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Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.?.
Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wilson starts for office at the same time every day. If he walks at 5 kmph he is 2 min late. If he walks at 10 kmph he is 4 min early. Find his correct speed to reach on time, and the distance to his office.?.
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