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A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?
  • a)
    11.2 kmph
  • b)
    10 kmph
  • c)
    10.2 kmph
  • d)
    10.8 kmph
Correct answer is option 'D'. Can you explain this answer?
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A man rides his bicycle 10 km at an average speed of 12 km/hr and agai...
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Most Upvoted Answer
A man rides his bicycle 10 km at an average speed of 12 km/hr and agai...
Total Distance = 10 +12 = 22 km
Total time = 10/12 + 12/10 = 5/6 + 6/5 = 25/30 + 36/30 = 61/30 hours
Average speed = 22 /(61/30) = 660/61 = 10.8 km/ hour
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Community Answer
A man rides his bicycle 10 km at an average speed of 12 km/hr and agai...
Solution:

To find the average speed of the entire trip, we need to use the formula:

Average speed = Total distance / Total time

Let's first calculate the total distance traveled by the man:

Total distance = Distance traveled in the first leg + Distance traveled in the second leg
= 10 km + 12 km
= 22 km

Now, let's calculate the total time taken by the man:

Time taken in the first leg = Distance / Speed
= 10 km / 12 km/hr
= 5/6 hr

Time taken in the second leg = Distance / Speed
= 12 km / 10 km/hr
= 6/5 hr

Total time taken = Time taken in the first leg + Time taken in the second leg
= 5/6 hr + 6/5 hr
= 61/30 hr

Now, let's substitute the values in the formula to find the average speed:

Average speed = Total distance / Total time
= 22 km / (61/30) hr
= 10.8 km/hr (approx)

Therefore, the average speed for the entire trip is approximately 10.8 km/hr, which is option (d).
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A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?a)11.2 kmphb)10 kmphc)10.2 kmph d)10.8 kmphCorrect answer is option 'D'. Can you explain this answer?
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