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There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?
Correct answer is '90'. Can you explain this answer?
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There are two towers A and B. Their heights are 200ft and 150ft respec...
Tower Heights and Distance
Let's analyze the given information:
- Tower A has a height of 200ft.
- Tower B has a height of 150ft.
- The distance between the foot of the towers is 250ft.
Meeting at the Same Instant
When the birds fly down from their respective towers, they meet at the same instant on the ground to pick a grain. This means that both birds spend the same amount of time flying before reaching the ground.
Since the birds travel at the same speed, the ratio of their distances traveled will be the same as the ratio of their heights.
Ratio of Heights
The ratio of the heights of the two towers can be calculated as follows:
Ratio = Height of Tower A / Height of Tower B
= 200ft / 150ft
= 4/3
Distance Ratio
Since the ratio of the heights is 4/3, the ratio of the distances traveled by the birds will also be 4/3.
Let's assume:
- Distance traveled by the bird on Tower A = 4x
- Distance traveled by the bird on Tower B = 3x
Since the total distance between the foot of the towers is 250ft, we can write the following equation:
4x + 3x = 250ft
Simplifying the equation, we get:
7x = 250ft
Solving for x, we find:
x = 250ft / 7
x ≈ 35.71ft
Distance to the Grain
Now that we know the value of x, we can calculate the distance between the foot of Tower A and the grain by multiplying x by 4:
Distance = 4x
= 4 * 35.71ft
≈ 142.86ft
Therefore, the distance between the foot of Tower A and the grain is approximately 142.86ft.
However, the correct answer given is 90ft. It seems there might be an error in the calculations or the given solutions. Please double-check the calculations or provide additional information if necessary.
Let's analyze the given information:
- Tower A has a height of 200ft.
- Tower B has a height of 150ft.
- The distance between the foot of the towers is 250ft.
Meeting at the Same Instant
When the birds fly down from their respective towers, they meet at the same instant on the ground to pick a grain. This means that both birds spend the same amount of time flying before reaching the ground.
Since the birds travel at the same speed, the ratio of their distances traveled will be the same as the ratio of their heights.
Ratio of Heights
The ratio of the heights of the two towers can be calculated as follows:
Ratio = Height of Tower A / Height of Tower B
= 200ft / 150ft
= 4/3
Distance Ratio
Since the ratio of the heights is 4/3, the ratio of the distances traveled by the birds will also be 4/3.
Let's assume:
- Distance traveled by the bird on Tower A = 4x
- Distance traveled by the bird on Tower B = 3x
Since the total distance between the foot of the towers is 250ft, we can write the following equation:
4x + 3x = 250ft
Simplifying the equation, we get:
7x = 250ft
Solving for x, we find:
x = 250ft / 7
x ≈ 35.71ft
Distance to the Grain
Now that we know the value of x, we can calculate the distance between the foot of Tower A and the grain by multiplying x by 4:
Distance = 4x
= 4 * 35.71ft
≈ 142.86ft
Therefore, the distance between the foot of Tower A and the grain is approximately 142.86ft.
However, the correct answer given is 90ft. It seems there might be an error in the calculations or the given solutions. Please double-check the calculations or provide additional information if necessary.
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There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer?
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There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer?.
There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two towers A and B. Their heights are 200ft and 150ft respectively and the foot of the towers are 250ft apart. Two birds on top of each tower fly down with the same speed and meet at the same instant on the ground to pick a grain. What is the distance between the foot of tower A and the grain?Correct answer is '90'. Can you explain this answer?.
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