Winston can mow his dads grass in 1 hour less than his brother Will. If they take 2 hours to mow it together then how long would it take Winston alone?

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Answer 1 · 2016-01-26T02:42:19

It takes Winston #1/2# hour to mow the grass alone.

Let #T_"Win"# be the time it takes Winston to mow the grass in hours.
Let #T_"Will"# be the time it takes Will to mow the grass in hours.

Then, from the problem's text, we have

#T_"Win" = T_"Will" - 1#

#=>T_"Win" - T_"Will" = -1#

and

#T_"Win" + T_"Will" = 2#

Adding these together, we have

#T_"Win" + T_"Will" + T_"Win" - T_"Will" = 2 + (-1)#

#=> 2T_"Win" = 1#

#:. T_"Win" = 1/2#

Thus Winston can mow the grass in #1/2# hour.