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If Arun had walked 1 km/h faster, he would have taken 10 minutes less to walk 2 kilometre. What is Arun’s speed of walking?
- a)1 kmph
- b)2 kmph
- c)3 kmph
- d)6 kmph
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If Arun had walked 1 km/h faster, he would have taken 10 minutes less ...
Solve through options using trial and error. For usual speed 3 kmph we have:
Normal time Æ 2/3 hours = 40 minutes.
At 4 kmph the time would be 2/4 hrs, this gives us a distance of 10 minutes. Hence option (c) is
correct.
Normal time Æ 2/3 hours = 40 minutes.
At 4 kmph the time would be 2/4 hrs, this gives us a distance of 10 minutes. Hence option (c) is
correct.
Most Upvoted Answer
If Arun had walked 1 km/h faster, he would have taken 10 minutes less ...
Given information:
- Arun walks 2 km.
- Arun would have taken 10 minutes less if he had walked 1 km/h faster.
We need to find Arun's walking speed.
Let's assume Arun's original walking speed to be x kmph.
Therefore, the time taken by Arun to walk 2 km at x kmph would be:
Time = Distance/Speed
Time = 2/x hours
Now, according to the question, if Arun had walked 1 km/h faster, he would have taken 10 minutes less to walk 2 km.
10 minutes is equal to 1/6 hours.
Therefore, the time taken by Arun to walk 2 km at (x+1) kmph would be:
Time = Distance/Speed
Time = 2/(x+1) hours
Now, we have two equations for time taken to walk 2 km:
Time = 2/x hours
Time = 2/(x+1) hours
According to the question, the difference in time taken is 1/6 hours.
So, we can write:
2/x - 2/(x+1) = 1/6
Solving this equation, we get:
x = 3 kmph
Therefore, Arun's walking speed is 3 kmph.
Hence, option C is the correct answer.
- Arun walks 2 km.
- Arun would have taken 10 minutes less if he had walked 1 km/h faster.
We need to find Arun's walking speed.
Let's assume Arun's original walking speed to be x kmph.
Therefore, the time taken by Arun to walk 2 km at x kmph would be:
Time = Distance/Speed
Time = 2/x hours
Now, according to the question, if Arun had walked 1 km/h faster, he would have taken 10 minutes less to walk 2 km.
10 minutes is equal to 1/6 hours.
Therefore, the time taken by Arun to walk 2 km at (x+1) kmph would be:
Time = Distance/Speed
Time = 2/(x+1) hours
Now, we have two equations for time taken to walk 2 km:
Time = 2/x hours
Time = 2/(x+1) hours
According to the question, the difference in time taken is 1/6 hours.
So, we can write:
2/x - 2/(x+1) = 1/6
Solving this equation, we get:
x = 3 kmph
Therefore, Arun's walking speed is 3 kmph.
Hence, option C is the correct answer.
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