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Narayan Murthy walking at a speed of 20 km/h reaches his college 10 minutes late. Next time he increases his speed by 5 km/h, but finds that he is still late by 4 minutes. What is the distance ofhis college from his house?
  • a)
    20 km
  • b)
    6 km
  • c)
    12 km
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Narayan Murthy walking at a speed of 20 km/h reaches his college 10 mi...
By increasing his speed by 25%, he will reduce his time by 20%. (This corresponds to a 6 minute
drop in his time for travel—since he goes from being 10 minutes late to only 4 minutes late.)
Hence, his time originally must have been 30 minutes. Hence, the required distance is 20 kmph ×
0.5 hours = 10 km.
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Most Upvoted Answer
Narayan Murthy walking at a speed of 20 km/h reaches his college 10 mi...
Given:
Speed of Narayan Murthy = 20 km/h
Time taken to reach college = 10 minutes = 1/6 hour (as 1 hour = 60 minutes)
New speed = 20 + 5 = 25 km/h
Time taken to reach college with new speed = 4 minutes = 1/15 hour

To find:
Distance of his college from his house

Solution:
Let the distance of his college from his house be 'd' km
Using the formula, Distance = Speed × Time, we can write:

Time taken to reach college with speed of 20 km/h = d/20
Time taken to reach college with speed of 25 km/h = d/25

As per the given conditions, we have:

d/20 + 1/6 = d/25 + 1/15
Multiplying both sides by 150, we get:

7.5d + 25 = 6d + 10
Simplifying, we get:

1.5d = 15
d = 10

Therefore, the distance of his college from his house is 10 km.

Hence, option D is the correct answer.
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Narayan Murthy walking at a speed of 20 km/h reaches his college 10 minutes late. Next time he increases his speed by 5 km/h, but finds that he is still late by 4 minutes. What is the distance ofhis college from his house?a)20 kmb)6 kmc)12 kmd)None of theseCorrect answer is option 'D'. Can you explain this answer?
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