Multiple choice

If $10$ tractors can plough $\dfrac{1}{6}th$ of a field in $12$ days, how many days $20$ tractors will take to do the remaining work ?

  1. $30$ days
  2. $20$ days
  3. $15$ days
  4. $18$ days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

10 tractors do 1/6 work in 12 days. 1 tractor does 1/6 work in 120 days. 1 tractor does 1 work in 720 days. 20 tractors do 5/6 work in (720 * 5/6) / 20 = 600 / 20 = 30 days.

AI explanation

Using the work equivalence formula where Tractors1 times Days1 divided by Work1 equals Tractors2 times Days2 divided by Work2, we set up the equation for the remaining 5/6 of the field. Substituting the values gives 10 tractors times 12 days divided by 1/6 equals 20 tractors times the unknown days divided by 5/6. Solving this yields 720 equals 24 times the unknown days, resulting in 30 days.