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Mohan covers a distance of 150 m in a certain time. If he increases his speed to 4 times his original speed, the time taken reduces by 30 seconds. Find the original time taken.
  • a)
    35 seconds 
  • b)
    40 seconds 
  • c)
    38 seconds 
  • d)
    45 seconds 
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
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Mohan covers a distance of 150 m in a certain time. If he increases hi...
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Mohan covers a distance of 150 m in a certain time. If he increases hi...
Given information:
- Distance covered by Mohan = 150 m
- Let the original speed of Mohan be S and original time taken be T.
- New speed of Mohan = 4S
- Time taken with new speed = T - 30 seconds

To find: Original time taken by Mohan

Solution:
- Using the formula, Speed = Distance/Time, we can write the equation as:
- S = 150/T (Original speed)
- 4S = 150/(T - 30) (New speed)

- Solving the above two equations, we get:
- T = 40 seconds

Therefore, the original time taken by Mohan was 40 seconds.

Answer: Option B (40 seconds)
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