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The ratio between the rate of speed of travelling of A and B is 2:3 and therefore A takes 20 minutes more than time taken by B to reach a particular destination. If A had walked at double the speed, how long would he have taken to cover the distance?
  • a)
    60 minutes
  • b)
    35 minutes
  • c)
    20 minutes
  • d)
    30 minutes
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio between the rate of speed of travelling of A and B is 2:3 an...
Let B and A takes T minutes and (T + 20) minutes respectively.
Speed Inversely proportional to time, So time taken by A and B is
(T + 20) : T = 1/2 : 1/3 = 3 : 2
⇒ (T + 20)/T = 3/2
⇒ 2T + 40 = 3T
T = 40
A takes (T + 20) = (40 + 20) = 60 min. If A had walked at double the speed then the time taken by A is 30 minutes.
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Most Upvoted Answer
The ratio between the rate of speed of travelling of A and B is 2:3 an...
Given: Ratio of speed of A and B = 2:3

Let the speed of A and B be 2x and 3x respectively.

Also given that A takes 20 minutes more than B to reach a particular destination.

Let the time taken by B = t minutes

Time taken by A = t + 20 minutes

Distance travelled by A and B is the same.

Therefore, Speed * Time = Distance

2x * (t + 20) = 3x * t

2t + 40 = 3t

t = 40 minutes

Therefore, time taken by B = 40 minutes

Time taken by A = 60 minutes

Now, if A had walked at double the speed, his speed would be 4x.

Therefore, time taken by A at double the speed = Distance / Speed

= (2x * 60) / 4x

= 30 minutes

Hence, the correct option is (d) 30 minutes.
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The ratio between the rate of speed of travelling of A and B is 2:3 and therefore A takes 20 minutes more than time taken by B to reach a particular destination. If A had walked at double the speed, how long would he have taken to cover the distance?a)60 minutesb)35 minutesc)20 minutesd)30 minutesCorrect answer is option 'D'. Can you explain this answer?
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