Time, Speed & Distance
Aptitude

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Q.

Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?

 A.

356

 B.

277

 C.

357

 D.

267

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Solution:
Option(C) is correct

Writing ratio = $100:50=2:1$

Since equal quantities are taken,

Therefore in a given time, first boy will be writing the line number 

\(\dfrac{2}{3}\times 535\text{ or }357^{th}\) line

Hence, both of them shall meet on $357^{th}$ line


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