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Three cars travel same distance with speeds in the ratio 2 : 4 : 7. What is the ratio of the times taken by them to cover the distance?
  • a)
    12 : 6 : 7
  • b)
    14 : 7 : 4
  • c)
    10 : 5 : 9
  • d)
    7 : 4 : 14
  • e)
    14 : 10 : 7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three cars travel same distance with speeds in the ratio 2 : 4 : 7. Wh...
B) 14 : 7 : 4
Explanation: s = d/t Since distance is same, so ratio of times: 1/2 : 1/4 : 1/7 = 14 : 7 : 4
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Most Upvoted Answer
Three cars travel same distance with speeds in the ratio 2 : 4 : 7. Wh...
Ratio of speeds of three cars = 2 : 4 : 7

Let us assume that the distance covered by each car is equal to ‘d’ units.

Let the time taken by each car to cover this distance be ‘t1’, ‘t2’ and ‘t3’ units.

We know that,

Speed = Distance / Time

Therefore,

t1 = d/2, t2 = d/4 and t3 = d/7

Ratio of time taken by each car to cover the distance = t1 : t2 : t3

= d/2 : d/4 : d/7

= 7d/14 : 3.5d/14 : 2d/14

= 14 : 7 : 4

Hence, the correct answer is option B) 14 : 7 : 4.
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Community Answer
Three cars travel same distance with speeds in the ratio 2 : 4 : 7. Wh...
B) 14 : 7 : 4
Explanation: s = d/t Since distance is same, so ratio of times: 1/2 : 1/4 : 1/7 = 14 : 7 : 4
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Three cars travel same distance with speeds in the ratio 2 : 4 : 7. What is the ratio of the times taken by them to cover the distance?a)12 : 6 : 7b)14 : 7 : 4c)10 : 5 : 9d)7 : 4 : 14e)14 : 10 : 7Correct answer is option 'B'. Can you explain this answer?
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