Amit and Francis are on detention and they need to write 65 pages together, Am

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Amit and Francis are on detention and they need to write 65 pages together, Amit writing for an hour extra than Francis. Francis can write 2 pages/hour more than Amit and therefore, he did 5 pages more than Amit.What is the speed per hour of Francis? (pages/hr)

Options:

A . 6

B . 5

C . 7

D . 12

Answer: Option C
:
C

Option (c )

Total = 65 pages

Go from answer options

Option $(a) \to F = 6$

A= 4

Together $\frac{10}{24}$ in one hour . This multiplied by (65-4=61),

should be an integer which is not true. Hence, answer a is eliminated Similarly, options (b),(d)are eliminated.

Option (c) $= \frac{35}{25} \times 60,$ which is an integer

Reverse gear method 2

If Francis writes 35 pages, then Amit writes 30 pages. Use answer options, to find each person’s individual time the time difference should be one hour. This happens only with option (c)

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