Multiple choice

$75$ boys do a piece of work in $24$ days, How many men will finish double the work in $20$ days when one day's work of $2$ men is equal to one days work of $3$ boys ?

  1. $100$ men
  2. $150$ men
  3. $120$ men
  4. $80$ men
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work = 75 boys * 24 days = 1800 boy-days. Double work = 3600 boy-days. 2 men = 3 boys, so 1 man = 1.5 boys. 20 days * M men * 1.5 boys/man = 3600 boy-days. 30M = 3600, M = 120.

AI explanation

Given the efficiency ratio from the condition that 2 men equal 3 boys, the work of 75 boys is equivalent to the work of 50 men. This means 50 men complete the initial work in 24 days, so double the work requires 50 * 2 * (24 / 20) = 120 men.

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