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The area of a square park is 25 sq.km. The time taken to complete around of the field once, at a speed of 3 km/hour is
  • a)
    4 hours 60 minutes
  • b)
    4 hours 50 minutes
  • c)
    6 hours 40 minutes
  • d)
    5 hours 40 minutes
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The area of a square park is 25 sq.km. The time taken to complete aro...
Area = 25 km2
Side = √25 = 5 km
Perimeter = 4 × 5 = 20 km
S = D/T
Time taken in completing one round
= (Distance)/(Speed)
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Most Upvoted Answer
The area of a square park is 25 sq.km. The time taken to complete aro...
Given:
- The area of the square park is 25 sq.km.
- The speed to complete one round of the field is 3 km/hour.

To find:
The time taken to complete one round of the field.

Solution:

To find the time taken to complete one round of the field, we need to find the perimeter of the square park. The perimeter of a square is given by the formula:

Perimeter = 4 * side

Step 1: Find the side of the square park

Given that the area of the square park is 25 sq.km, we can find the side of the square park by taking the square root of the area.

Side = √25 = 5 km

Step 2: Find the perimeter of the square park

Using the formula for the perimeter of a square, we can find the perimeter of the square park.

Perimeter = 4 * side
Perimeter = 4 * 5
Perimeter = 20 km

Step 3: Find the time taken to complete one round of the field

We are given that the speed to complete one round of the field is 3 km/hour. To find the time taken, we can use the formula:

Time = Distance / Speed

In this case, the distance is equal to the perimeter of the square park, which is 20 km. And the speed is 3 km/hour.

Time = 20 km / 3 km/hour
Time ≈ 6.67 hours

Converting the time to hours and minutes, we get:

6 hours and 0.67 * 60 minutes
6 hours and 40 minutes

Therefore, the time taken to complete one round of the field at a speed of 3 km/hour is 6 hours and 40 minutes, which corresponds to option C.
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The area of a square park is 25 sq.km. The time taken to complete around of the field once, at a speed of 3 km/hour isa)4 hours 60 minutesb)4 hours 50 minutesc)6 hours 40 minutesd)5 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer?
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