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Eight plants were placed in a row along a street. The distance between the second and the fifth plant was 6 m. What is the distance between the third and the last plant?
- a)2 m
- b)12 m
- c)8 m
- d)10 m
Correct answer is option 'D'. Can you explain this answer?
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Eight plants were placed in a row along a street. The distance between...
Question Analysis:
- There are eight plants in a row along a street.
- The distance between the second and fifth plants is 6 m.
- We need to find the distance between the third and last plant.
Answer Explanation:
To solve this problem, we need to use some basic math concepts. Let us break down the problem into steps:
Step 1: Find the distance between the first and fifth plants.
- We know that the distance between the second and fifth plants is 6 m.
- Therefore, the distance between the first and fifth plants would be 6 m + the distance between the first and second plants.
- As all plants are placed in a row, the distance between each consecutive plant is the same.
- Hence, the distance between the first and second plants is the same as the distance between the fifth and sixth plants.
- Therefore, the distance between the first and fifth plants would be 6 m + the distance between the fifth and sixth plants.
- We know that there are eight plants in total, so the distance between the first and eighth plants would be the sum of the distances between the first and fifth plants and the fifth and eighth plants.
- Therefore, the distance between the first and eighth plants would be:
6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant
Step 2: Find the distance between the third and last plant.
- We know that the distance between the first and eighth plants is the sum of the distances between the first and fifth plants and the fifth and eighth plants.
- We also know that the distance between the first and third plants is the sum of the distances between the first and second plants and the second and third plants.
- Therefore, the distance between the third and eighth plants would be:
(distance between first and eighth plants) - (distance between first and third plants)
- Substituting the values, we get:
(distance between third and eighth plants) = (6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant) - (distance between first and second plant + distance between second and third plant)
Step 3: Calculate the distance between the third and last plant.
- We know that the last plant is the eighth plant.
- Therefore, the distance between the third and last plant would be the sum of the distances between the third and fourth plants, fourth and fifth plants, fifth and sixth plants, sixth and seventh plants, and seventh and eighth plants.
- Substituting the values, we get:
(distance between third and last plant) = distance between third and fourth plant + distance between fourth and fifth plant + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant
- Simplifying the equation, we get:
(distance between third and last plant) = distance between first and eighth plant - (distance between first and second plant + distance between second and third plant)
(distance between third and last plant) = (6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant) - (distance between first and second plant + distance between second and third plant)
(distance between third and last plant) = 6 m + 4x - 2x
(distance between third and last plant) = 6 m + 2x
- Here, x represents the distance between each consecutive plant
- There are eight plants in a row along a street.
- The distance between the second and fifth plants is 6 m.
- We need to find the distance between the third and last plant.
Answer Explanation:
To solve this problem, we need to use some basic math concepts. Let us break down the problem into steps:
Step 1: Find the distance between the first and fifth plants.
- We know that the distance between the second and fifth plants is 6 m.
- Therefore, the distance between the first and fifth plants would be 6 m + the distance between the first and second plants.
- As all plants are placed in a row, the distance between each consecutive plant is the same.
- Hence, the distance between the first and second plants is the same as the distance between the fifth and sixth plants.
- Therefore, the distance between the first and fifth plants would be 6 m + the distance between the fifth and sixth plants.
- We know that there are eight plants in total, so the distance between the first and eighth plants would be the sum of the distances between the first and fifth plants and the fifth and eighth plants.
- Therefore, the distance between the first and eighth plants would be:
6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant
Step 2: Find the distance between the third and last plant.
- We know that the distance between the first and eighth plants is the sum of the distances between the first and fifth plants and the fifth and eighth plants.
- We also know that the distance between the first and third plants is the sum of the distances between the first and second plants and the second and third plants.
- Therefore, the distance between the third and eighth plants would be:
(distance between first and eighth plants) - (distance between first and third plants)
- Substituting the values, we get:
(distance between third and eighth plants) = (6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant) - (distance between first and second plant + distance between second and third plant)
Step 3: Calculate the distance between the third and last plant.
- We know that the last plant is the eighth plant.
- Therefore, the distance between the third and last plant would be the sum of the distances between the third and fourth plants, fourth and fifth plants, fifth and sixth plants, sixth and seventh plants, and seventh and eighth plants.
- Substituting the values, we get:
(distance between third and last plant) = distance between third and fourth plant + distance between fourth and fifth plant + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant
- Simplifying the equation, we get:
(distance between third and last plant) = distance between first and eighth plant - (distance between first and second plant + distance between second and third plant)
(distance between third and last plant) = (6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant) - (distance between first and second plant + distance between second and third plant)
(distance between third and last plant) = 6 m + 4x - 2x
(distance between third and last plant) = 6 m + 2x
- Here, x represents the distance between each consecutive plant
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Eight plants were placed in a row along a street. The distance between...
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Eight plants were placed in a row along a street. The distance between the second and the fifth plant was 6 m. What is the distance between the third and the last plant?a)2 m b)12 mc)8 m d)10 mCorrect answer is option 'D'. Can you explain this answer?
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