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Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?
  • a)
    1 hr 42 min
  • b)
    1 hr
  • c)
    2 hr
  • d)
    1 hr 12 min
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Walking 6/7th of his usual speed, a man is 12 minutes too late. What i...
New speed = (6/7) of usual speed.
New time = (7/6) of usual time.
Therefore (7/6 of usual time)- (usual time) = (1/5) hr.
=> (1/6 of usual time)= (1/5) hr 
=> usual time = (6/5) hr 
= 1 hr 12 min.
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Most Upvoted Answer
Walking 6/7th of his usual speed, a man is 12 minutes too late. What i...
Given data:
- Walking 6/7th of his usual speed
- Man is 12 minutes too late

To find: Usual time taken by him to cover that distance

Solution:
Let the usual speed of the man be S and the usual time taken by him to cover the distance be T.
Distance = Speed x Time

When walking at 6/7th of his usual speed, the new speed of the man will be (6/7)S.
The new time taken by him to cover the same distance will be T + 12 minutes (as he is 12 minutes late).

Distance = (6/7)S x (T + 12) [equation 1]

Distance = S x T [equation 2]

From equations 1 and 2, we get:

(6/7)S x (T + 12) = S x T

6T/7 + 12 = T

T/7 = 12

T = 84 minutes = 1 hour 24 minutes

Therefore, the usual time taken by the man to cover that distance is 1 hour 24 minutes.

Answer: Option D (1 hour 12 minutes) is incorrect.
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Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?a)1 hr 42 min b)1 hr c) 2 hr d)1 hr 12 minCorrect answer is option 'D'. Can you explain this answer?
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