To find the distance between the man’s house and office, we can use the formula distance = speed x time. Let’s assume that the distance between the man’s house and office is D.
When the man walks at a speed of 4 kmph, he is late by 20 minutes. This means that he takes 20 minutes more than the usual time to cover the distance between his house and office. Let’s assume that the usual time taken by him to cover this distance is t hours. Therefore, we can write:
D/4 = t + 1/3
When the man walks at a speed of 5 kmph, he is early by 10 minutes. This means that he takes 10 minutes less than the usual time to cover the distance between his house and office. Therefore, we can write:
D/5 = t - 1/6
Solving these two equations, we get:
D = 8 km
Therefore, the distance between the man’s house and office is 8 km.
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Verified answer
Answer:
8 km
Step-by-step explanation:
I am answering in English okay.
To find the distance between the man’s house and office, we can use the formula distance = speed x time. Let’s assume that the distance between the man’s house and office is D.
When the man walks at a speed of 4 kmph, he is late by 20 minutes. This means that he takes 20 minutes more than the usual time to cover the distance between his house and office. Let’s assume that the usual time taken by him to cover this distance is t hours. Therefore, we can write:
D/4 = t + 1/3
When the man walks at a speed of 5 kmph, he is early by 10 minutes. This means that he takes 10 minutes less than the usual time to cover the distance between his house and office. Therefore, we can write:
D/5 = t - 1/6
Solving these two equations, we get:
D = 8 km
Therefore, the distance between the man’s house and office is 8 km.
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