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A man can reach a certain place in 30 hours. If he reduces his speed by (1/15)th, he goes at 10 km less in that time. Find his speed.
  • a)
    4 km/hr
  • b)
    5 km/hr
  • c)
    5.5 km/hr
  • d)
    6 km/hr
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A man can reach a certain place in 30 hours. If he reduces his speed b...
Let the speed be x km/hr
Then 30 x - 30 x 14/15 x = 10
⇒ 2x = 10
⇒ x = 10/2 = 5 km/hr
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Most Upvoted Answer
A man can reach a certain place in 30 hours. If he reduces his speed b...
Let's assume the man's original speed is 'x' km/hr.

To find his speed, we need to determine the value of 'x' that satisfies the given conditions.

The man can reach a certain place in 30 hours at his original speed 'x' km/hr.

If he reduces his speed by (1/15)th, his new speed becomes (x - (1/15)x) km/hr.

According to the question, at this reduced speed, he travels 10 km less in the same time of 30 hours.

To calculate the distance covered at the reduced speed, we can use the formula:

Distance = Speed * Time

Distance covered at the original speed = x km/hr * 30 hours = 30x km

Distance covered at the reduced speed = (x - (1/15)x) km/hr * 30 hours = (14/15)x km/hr * 30 hours = 28x km

According to the question, the distance covered at the reduced speed is 10 km less than the distance covered at the original speed.

So, we can set up the equation:

30x - 28x = 10

Simplifying the equation:

2x = 10

x = 10/2

x = 5

Therefore, the man's original speed is 5 km/hr.

Hence, the correct answer is option 'B' - 5 km/hr.
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A man can reach a certain place in 30 hours. If he reduces his speed by (1/15)th, he goes at 10 km less in that time. Find his speed.a)4 km/hrb)5 km/hrc)5.5 km/hrd)6 km/hrCorrect answer is option 'B'. Can you explain this answer?
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