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A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)
- a)24 seconds
- b)4 minutes
- c)17 minutes
- d)3 hours
- e)290 hours
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A plot is in the shape of a right-angled triangle whose shorter sides ...
Given:
- Insect’s speed = 100 inches in 1.79 minutes = 100 1.79 inches per minutes
- A right triangular plot:
- Shorter side 1, say x = 78.8 meters
- And, Shorter side 2, say y = 62.4 meters
To Find: Time taken by the insect to cover the perimeter of the plot
Approach:
- Time = Distance / speed
- So, to find the time, we’ll need to know the total distance (perimeter of the plot) that the insect covered
- Perimeter = x + y + Hypotenuse (let’s call it h henceforth)
- We already know the lengths of x and y. So, we’ll find h by using Pythagoras Theorem
- We are given the Speed of the insect.
- However, it’s important to note that since the side lengths of the plot are given in meters, our calculation of the Distance travelled by the insect will also be done in meters. However, the speed is given in units of inches per minute. So, when working out the solution, we must remember to:
- Either convert the Distance into inches
- Or convert the Speed into meters per minutes (or hours)
- However, it’s important to note that since the side lengths of the plot are given in meters, our calculation of the Distance travelled by the insect will also be done in meters. However, the speed is given in units of inches per minute. So, when working out the solution, we must remember to:
2. Also note the huge difference in the magnitude of different answer choices. This means, we can afford to use the principle of estimation and rounding aggressively to ease our calculations
Working out
- Finding the Distance travelled by the Insect
- We can round x to 80 and y to 60
- So,
- So, Distance travelled = Perimeter of triangle = 100 + 80 + 60 = 240 meters
- = 240*40 inches approx. (as 1 meter is equal to 39.37 inches)
- = 9600 inches approx.
- Finding the Time taken
- Speed = 100 1.79 inches per minutes
- 100*1.79 minutes approx..
- = 179 minutes approx..
- = 3 hours approx..
Looking at the answer choices, we see that the correct answer is Option D
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A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer?
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A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer?.
A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plot is in the shape of a right-angled triangle whose shorter sides measure 78.8 meters and 62.4 meters respectively. If an insect takes 1.79 minutes to cover a distance of 100 inches, what is the approximate time that it will take to return to its starting point after covering the entire perimeter of the plot in one direction? (1 meter is approximately 39.37 inches)a)24 secondsb)4 minutesc)17 minutesd)3 hourse)290 hoursCorrect answer is option 'D'. Can you explain this answer?.
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