A typist types $54$ pages in $6$ hours. How many hours will he take to type $99$ pages at the same speed?

A typist types $54$ pages in $6$ hours. How many hours will he take to type $99$ pages at the same speed?
  1. $9$
  2. $10$
  3. $11$
  4. $12$

Solution

Rate $= \dfrac{54}{6} = 9$ pages/hr. Time for $99$ pages $= \dfrac{99}{9} = 11$ hr.

Asked in: IMO

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