A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will…

Question

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will complete the construction work in:

Accepted Answer

Correct answer: B. (b) Let A take a days and B take a+24 days. Together: 1a+ 1a+24= 122.5= 245. 2a+24a (a+24 )= 245 45 (2a+24 )=2a (a+24 ) 90a+1080=2a^2+48a a^2-21a-540=0 (a-36 ) (a+15 )=0 ⇒a=36. Mason A alone completes the work in 36 days.

$A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will complete the construction work in:$

Solution

More Quadratic Equations PYQs