Two boys begin together to write out a booklet containing 817 lines. The first boy starts with first line, writing at the rate of 200 lines an hour and the second boys starts with a last line. He writes line 817 and so on backwards proceeding at the rate of 150 lines an hour. At what line will they meet?
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Answer:
Let the two meet at the Nth line
From the question
Nth/200 = (817 - Nth)/150
⇒ 3Nth = 4(817-Nth)
⇒ Nth = (4 x 817) / 7
∴ Nth = 466.85
So, they will meet at the 467th line
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