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The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio between the time taken by these cars to travel the same distance?
  • a)
    4 : 3 : 2
  • b)
    2 : 3 : 4
  • c)
    4 : 3 : 6
  • d)
    6 : 4 : 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio...
Speed = Distance/time
⇒ Time ∝ 1/Speed
Ratio of speed = 2 : 3 : 4
Suppose the distance is 12x units (LCM of 2, 3 & 4)
∴ Ratio of time taken to cove same distance = (12x/2 : 12x/3 : 12x/4) = 6 : 4 : 3
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The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio...
Given information:
- The speeds of three cars are in the ratio 2 : 3 : 4.

To find:
- The ratio between the time taken by these cars to travel the same distance.

Solution:
Let's assume that the speeds of the three cars are 2x, 3x, and 4x, respectively.

Distance = Speed × Time

Since the distance traveled is the same for all three cars, we can assume that the distance is equal to D for all the cars.

Therefore, the time taken by the cars is given by:
- Time taken by the first car = D / (2x)
- Time taken by the second car = D / (3x)
- Time taken by the third car = D / (4x)

Ratio between the time taken by the three cars:
- (D / (2x)) : (D / (3x)) : (D / (4x))
- Simplifying the above expression, we get:
- 3 : 2 : 4

Therefore, the ratio between the time taken by the three cars to travel the same distance is 3 : 2 : 4, which is option (d) in the given choices.
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The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio between the time taken by these cars to travel the same distance?a)4 : 3 : 2b)2 : 3 : 4c)4 : 3 : 6d)6 : 4 : 3Correct answer is option 'D'. Can you explain this answer?
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