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Uday Agrawal

· started a discussion

· 1 Months ago

doubt (Question: 127353.0 )

why 23.4 is multiplied by 200 ?

Question:

Two boys begin together writing out a booklet containing 8190 line. The first boy starts with the first line, writing at the rate of 200 lines an hour; and the second boy starts with the last line, then writes 8189th line and so on, proceeding backward at the rate of 150 line an hour. At what line will they meet?

Options:
A)

 

4680

B)

4850

C)

5860

D)

6850

E)

None of these

Solution:

Ans: (a)

Writing ratio = 200:150 = 4:3

Since equal quantities are taken,

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

=\(\cfrac{4}{7}\times8190=4680\)

Hence, both of them shall meet on 4680th line

 

Alternate method-

Duration of time of their meet

= \(\cfrac{(8190 lines)}{(200+150)lines/hr.}\)  = 23.4 hr.
Their line of meet = 200 × 23.4
= 4680 line

Knowledge Expert

· commented

· 1 Months ago

@Uday Agrawal

Writing ratio = 200:150 = 4:3
Since equal quantities are taken,
Therefore in a given time, first boy will be writing the line number
=(4/7)*8190 = 4680
Hence, both of them shall meet on 4680th line

Uday Agrawal

· commented

· 1 Months ago

but 200 line/hr is writing speed of first boy,so what's the actual logic of getting answer multiply 23.4 by 200 ?

Knowledge Expert

· commented

· 1 Months ago

because writing speed is 200 lines per hour
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