Multiple choice

$6$ typist working $5$ hours a day can type the manuscript of a book in $16$ days. How many days will $4$ typists take to do the same job, each working $6$ hrs a day?

  1. $21$ days
  2. $17$ days
  3. $18$ days
  4. $20$ days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Use the formula M1*D1*H1 = M2*D2*H2. 6 * 16 * 5 = 4 * D2 * 6. 480 = 24 * D2. D2 = 20 days.

AI explanation

Using the constant product method (men1 times days1 times hours1 equals men2 times days2 times hours2), we substitute the given values: 6 times 5 times 16 equals 4 times 6 times days2. This simplifies to 480 equals 24 times days2, meaning days2 is 20. The job will take 20 days.