Problema Solution

Brett can mow a lawn in 5 hours using his push mower. It would take his neighbor 3 hours to do the same job using his riding mower. How long would it take to mow the yard if both work together?

Answer provided by our tutors

Brett can mow a lawn in 5 hours,

So, we can say that he does 1/5 work in an hour.

His neighbour can mow a lawn in 3 hours,

So,  he does 1/3 work in an hour.

If they work together, they can do ( 1/5 + 1/3 ) = ( 3/15 +5/15 ) = 8/15 work in an hour.

So,

the time required to mow the garden will be 1/(8/15) = 15/8