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typing problem

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typing problem

by ace_gre » Mon Jan 25, 2010 9:55 pm
Working together, John and Jack can type 20 pages in one hour. They will be able to type 22 pages in one hour if Jack increases his typing speed by 25%. What is the ratio of Jack's normal typing speed to that of John?
A) 1/3
B) 2/5
C) 1/2
D) 2/3
E) 3/5

I do not have the OA. Can someone help? Thanks
Last edited by ace_gre on Mon Jan 25, 2010 11:02 pm, edited 1 time in total.
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by kunal_kc » Mon Jan 25, 2010 10:43 pm
Lets assume below -:

John's speed = x
Jack's speed = y

so we will have 2 equations -:

eq1
x + y = 20

eq2 (increasing jack's speed by 25%)
x + 1.25y = 22

By solving the 2 equations you will get
x= 12
y= 8

hence ratio will be 8/12=2/3 (ANS D)
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