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A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases his speed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?
  • a)
    1
  • b)
    1.25
  • c)
    1.125
  • d)
    1.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A boy starts from his house and walks at a speed of 5 km/hr and reache...
Let the distance between the school and his house be ‘x’ km
Time taken on first day = Distance/speed = x/5 hrs.
His speed on next day = 5 + 4 = 9 km/hr.
Time taken on next day = x/9 hrs.
Now,
∵ He reached 3 min. late on the first day and reached 3 min. early the next day, this means that the difference between the time taken on the 2 days = 3 + 3 = 6 min. = 6/60 = 1/10 hrs.
⇒ x/5 – x/9 = 1/10
⇒ (9x – 5x)/45 = 1/10
⇒ 4x/45 = 1/10
⇒ x = 45/4 × 1/10
⇒ x = 1.125 km
∴ Distance between the school and his house is 1.125 km
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Most Upvoted Answer
A boy starts from his house and walks at a speed of 5 km/hr and reache...
Given:
Speed of the boy on the first day = 5 km/hr
Speed of the boy on the second day = 5+4 = 9 km/hr
Time taken on the first day = t + 3 minutes
Time taken on the second day = t - 3 minutes
To find: Distance between the school and his house

Explanation:
Let's assume that the distance between the house and the school is 'd' km.
On the first day,
Distance covered = Speed * Time
d = 5 * (t + 3/60)
On the second day,
d = 9 * (t - 3/60)
We can equate both the equations to get the value of 't'.
5 * (t + 3/60) = 9 * (t - 3/60)
Solving the above equation, we get t = 9/16 hours or 33.75 minutes.

Now, we can substitute the value of 't' in any of the above equations to get the distance 'd'.
d = 5 * (9/16 + 3/60) = 1.125 km
Therefore, the distance between the school and his house is 1.125 km.

Hence, the correct answer is option 'C'.
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A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases his speed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?a)1b)1.25c)1.125d)1.5Correct answer is option 'C'. Can you explain this answer?
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A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases his speed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?a)1b)1.25c)1.125d)1.5Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases his speed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?a)1b)1.25c)1.125d)1.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases his speed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?a)1b)1.25c)1.125d)1.5Correct answer is option 'C'. Can you explain this answer?.
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