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A person generally reaches his office 0.50 hours late. One day, he increased his speed by 25% and arrived 15 minutes late. How much time does he need to complete his journey if he wants to reach his office on time?
  • a)
    0.50 hour
  • b)
    0.75 hour
  • c)
    1 hour
  • d)
    1.25 hours
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A person generally reaches his office 0.50 hours late. One day, he inc...
Given Information:
The person generally reaches his office 0.50 hours late.
When he increased his speed by 25%, he arrived 15 minutes late.

Calculations:
Let's assume the usual time taken to reach the office is x hours.
So, the person generally reaches his office x + 0.50 hours late.
When he increased his speed by 25%, the time taken to reach the office becomes 0.75x (as 25% of x is 0.25x) and he arrived 15 minutes late, which is 0.25 hours.
Therefore, the equation becomes:
0.75x = x - 0.25
0.75x - x = -0.25
0.25x = -0.25
x = -0.25 / 0.25
x = 1

Time needed to reach the office on time:
So, the person needs to complete his journey in x hours, which is 1 hour to reach his office on time.
Therefore, the correct answer is option B. 0.75 hour.
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Community Answer
A person generally reaches his office 0.50 hours late. One day, he inc...
Speed → Initial : New = 100 : 125 = 4 : 5
Time → Initial : New = 5 : 4

= 75 minutes = 1.25 hours
So the answer = 1.25 – 0.50 = 0.75 hour
Hence, Option B is correct.
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