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Bala travels first one-third of the total distance at the speed of 10 kmph and the next one-third distance at the speed of 20 kmph and the last one – third distance at the speed of 60 kmph. What is the average speed of Bala?
  • a)
    18 kmph
  • b)
    19 kmph
  • c)
    16 kmph
  • d)
    12 kmph
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Bala travels first one-third of the total distance at the speed of 10 ...
Let the total distance be 3x km. Now, average speed is given by 

average speed = (total distance travelled) / (total time taken)

So, let times taken for the first, second and third halves of the journeys be t1, t2, and t3 respectively. Then, 

t1 = x/10

t2 = x/20

t3 = x/60

So, average speed = x / (t1 + t2 + t3)

= x / (x/10 + x/20 + x/60)

= 3/ ((6 + 3 + 1)/60)

= (3 x 60)/10

= 18 km/hr

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Most Upvoted Answer
Bala travels first one-third of the total distance at the speed of 10 ...
Answer – A. 18 kmph Explanation: = 3 * 10 * 20 * 60 / (200 + 1200 + 600)
= 18 kmph
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Community Answer
Bala travels first one-third of the total distance at the speed of 10 ...
Answer – A. 18 kmph Explanation: = 3 * 10 * 20 * 60 / (200 + 1200 + 600)
= 18 kmph
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