# GATE Papers >> EEE >> 2019 >> Question No 4

Question No. 4

It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to mow the lawn?

Solution of Question No 4 of GATE 2019 EEE Paper

X can mow the lawn → 2 hour ⇒ X's 1 hour work $=\frac12$

Y can mow the lawn → 4 hour ⇒ Y's 1 hour work $=\frac14$

(X + Y)'s → 1 hour work $=\left(\frac12+\frac14\right)=\frac{2+1}4=\frac34$

Total time required $=\frac1{\left({\displaystyle\frac34}\right)}=\frac43\mathrm{hours}=\frac43\times60\min=80\min$