Question

Twelve typists , all working with same speed type a certain number of pages in $18$ days working $8$ hours a day . How many hours per day must sixteen typists work in order to type the same number of pages in $9$ days?

• A. $10$
• B. $18$
• C. $12$
• D. $14$

Answer 1

The correct option is C $12$

let the speed of typing of each typist $=x$ pages/hr

No of pages typed by $12$ typist in $18$ days working $8$ hrs a day

$=8x\ast 12\ast 18=1728x$ pages

Working hrs required $=1728$ hrs

so hrs per day for $16$ persons in $9$ days

$=1728/9\ast 16$

$=12$ hrs/day