Select the correct answerA man walking at a speed of 30kmph reaches from his house to office at 5pm. Next time at a speed of 60kmph reaches from his house to office at 2pm find the distance of his office from home?Options140km120km160km180km
Question
Select the correct answerA man walking at a speed of 30kmph reaches from his house to office at 5pm. Next time at a speed of 60kmph reaches from his house to office at 2pm find the distance of his office from home?Options140km120km160km180km
Solution
The problem can be solved by using the formula for time, which is distance divided by speed.
First, we need to find out how long it takes the man to travel from his house to his office at a speed of 30kmph. We know that he arrives at 5pm, but we don't know when he leaves.
Next, we need to find out how long it takes him to travel the same distance at a speed of 60kmph. We know that he arrives at 2pm, but again, we don't know when he leaves.
The difference in arrival times (5pm - 2pm) is 3 hours. This means that the man saves 3 hours when he doubles his speed from 30kmph to 60kmph.
Since the time saved is directly proportional to the time taken at slower speed, the time taken at slower speed is 3 hours * 2 = 6 hours.
Therefore, the distance from his house to his office is speed * time = 30kmph * 6 hours = 180km.
So, the correct answer is 180km.
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