Typists speed

Algebra Level 2

If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in 6 minutes?

9 6 3 8

Ossama Ismail by Ossama Ismail , 63, Egypt

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1 solution

Let T be typists; p be pages ; m be minutes; a, b, k some constants. . T = a ∗ p . a n d T = b m . ∴ T = k ∗ p m B u t f r o m g i v e n c o n d i t i o n 2 = k ∗ 2 2 . ∴ k = 2. ⟹ T = 2 ∗ p m . B u t p = 18 , m = 6 , ∴ T = 2 ∗ 18 6 = 6 T=a*p.~~and~~ T=\dfrac{b}{m}. \\\therefore~T=\dfrac{k*p}{m} ~~But~from~given~condition\\2=\dfrac{k*2}{2} .~~~~\therefore~ k=2.\\\implies~~ T=\dfrac{2*p}{m} .~~But~p=18,~~m=6,~~\\\therefore~T=\dfrac{2*18}{6}= ~~~~~~~~\boxed{6}

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