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A can type 100 letters in 5 minutes. B and C typing together can type 50 letters in 2 minutes. If all of them working together then can type 90 letters in how many minutes?

  • a)
    2 minutes

  • b)
    4 minutes

  • c)
    5 minutes

  • d)
    10 minutes

  • e)
    None

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A can type 100 letters in 5 minutes. B and C typing together can type ...
(1/5+1/4)
20/9*90/100 = 2
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Most Upvoted Answer
A can type 100 letters in 5 minutes. B and C typing together can type ...
A can type 20 letters in one minute
B and C can can type 25 letters in one minute
A,B and C together can type 45 letters in one minute
45 letters in 1 minute
so 90 letters in 2 minute.
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Community Answer
A can type 100 letters in 5 minutes. B and C typing together can type ...
Given:
A can type 100 letters in 5 minutes.
B and C typing together can type 50 letters in 2 minutes.

To find:
If all of them working together then can type 90 letters in how many minutes?

Solution:
Let the efficiency of A, B, and C be a, b, and c respectively.

According to the question,
A can type 100 letters in 5 minutes.
Therefore, the efficiency of A, a = 100/5 = 20 letters per minute.

B and C typing together can type 50 letters in 2 minutes.
Therefore, the efficiency of B and C, b + c = 50/2 = 25 letters per minute.

Let's assume that all three work together for x minutes to type 90 letters.

Therefore, the total number of letters typed by A, B, and C working together is 90.

So, we can write the equation as:
20x + 25x = 90
45x = 90
x = 2

Therefore, all three working together can type 90 letters in 2 minutes.

Hence, the correct answer is option A) 2 minutes.
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Question Description
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