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There are two swimmers A and B who start swimming towards each other from opposite banks of the lake. They meet at a point 900 ft from one shore for the first time. They cross each other, touch the opposite bank and return. They meet each other again at 300 ft from the other shore. What is the width of the lake?
  • a)
    2400 ft
  • b)
    1800 ft
  • c)
    2700 ft
  • d)
    3600 ft
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
There are two swimmers A and B who start swimming towards each other f...
Let us assume that the width of the lake = x. So, when one of the runners A covers 900 m, the other one B is covering (x - 900) m. To meet next time, A will be covering (x - 900 + 300) m whereas B will be covering (900 + X-300) m.
Now, 900/(x - 900) = (x - 900 + 300)/(x + 900 - 300)
Now use options to find the answer.
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Most Upvoted Answer
There are two swimmers A and B who start swimming towards each other f...
Problem:
Two swimmers A and B start swimming towards each other from opposite banks of the lake. They meet for the first time at a point 900 ft from one shore. They cross each other, touch the opposite bank and return. They meet each other again at 300 ft from the other shore. What is the width of the lake?

Solution:
Let us assume the width of the lake as 'x'.

From the given information, we can form the following equations:

- The distance covered by A from his bank to the meeting point + The distance covered by B from his bank to the meeting point = The width of the lake
- The distance covered by A from the meeting point to the opposite bank + The distance covered by B from the meeting point to the opposite bank = The width of the lake

Let us solve these equations to find the value of 'x':

- (900 + (x - 900)) + (900 + (x - 900)) = x
- (300 + (x - 300)) + (300 + (x - 300)) = x

Simplifying these equations, we get:

- x = 2400
- x = 1800

The value of 'x' obtained from the first equation is 2400 ft, which is the width of the lake.

Therefore, the correct answer is option 'A'.
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Community Answer
There are two swimmers A and B who start swimming towards each other f...
2400ft is the answer because if A and B meet each other at 900ft then whole distance would be 1800ft and while returning at 300ft they meet so the whole distance would be 600ft. if we sum up the whole distance then it will be 2400ft
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