Question

Tony and jack work on a task together to complete it in some days. if tony increases his efficiency by 20%, then he and jack together would be able to complete the same task in 2 days less. jack alone can finish the task in 30 days. in how many days can tony complete the task?

Answer 1

Let the number of days taken by Tony = x days
Jack = 30 days
So the total work = 30x
Efficiency of tony = 30x/x = 30
When he increases 20% = 30 * 1.2=36
Efficiency of jack = 30x/30 = x
According to the given condition
30x/(30+x) = 30x/(36+x) + 2
Solving the equation
x^2 - 24x + 1080 = 0
But this equation has no real roots
So the given conditions are wrong