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The area of a square field is 60025 m2. A man cycles along its boundary at 18 km/hour. In how much time will he return to the starting point?
  • a)
    166 seconds
  • b)
    176 seconds
  • c)
    196 Seconds
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The area of a square field is 60025 m2. A man cycles along its boundar...
Speed of cycle = 18 km/hour
18 x 5/18
5m/sec
Area of square = 60025
Side of square =  = 245 m
Perimeter of square = 245 × 4 m
∴    Time taken = 
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Most Upvoted Answer
The area of a square field is 60025 m2. A man cycles along its boundar...
Given:
Area of the square field = 60025 m^2
Speed of the man = 18 km/hr

To find:
The time taken by the man to return to the starting point.

Formula:
Area of a square = side^2
Perimeter of a square = 4 * side
Time = Distance / Speed

Calculation:
1. Calculate the side of the square field:
Area of the square field = side^2
60025 = side^2
Taking square root on both sides:
Side = √60025
Side = 245 m

2. Calculate the distance traveled by the man:
Perimeter of the square field = 4 * side
Perimeter = 4 * 245
Perimeter = 980 m

3. Calculate the time taken by the man to return to the starting point:
Time = Distance / Speed
Time = 980 / 18
Time = 54.44 seconds (approx)

Therefore, the man will take approximately 54.44 seconds to return to the starting point.

Explanation:
The area of a square field is given. To find the time taken by the man to return to the starting point, we need to calculate the distance traveled by the man.

First, we calculate the side of the square field by taking the square root of the given area. Then, we calculate the perimeter of the square field by multiplying the side by 4.

Next, we use the formula Time = Distance / Speed to find the time taken by the man. The distance traveled by the man is equal to the perimeter of the square field, and the speed is given in km/hr, so we convert it to m/s by dividing it by 3.6.

Finally, we calculate the time by dividing the distance by the speed. The resulting time is approximately 54.44 seconds.

Therefore, option C) 196 seconds is the correct answer.
Free Test
Community Answer
The area of a square field is 60025 m2. A man cycles along its boundar...
The answer will be 196 seconds
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The area of a square field is 60025 m2. A man cycles along its boundary at 18 km/hour. In how much time will he return to the starting point?a)166 secondsb)176 secondsc)196 Secondsd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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