SOLUTION: John and Sam have a lawn mowing service. At one home, John can mow the lawn by himself in 2 hours, but it takes Sam 2.5 hours. How many hours t will it take them to mow the same la

Question 1158819: John and Sam have a lawn mowing service. At one home, John can mow the lawn by himself in 2 hours, but it takes Sam 2.5 hours. How many hours t will it take them to mow the same lawn together?.
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.


Working alone, John makes   = 0.5  of the job per hour


Working alone, Sam  makes   =  = 0.4 of the job per hour.


Working together, they make  0.5 + 0.4 = 0.9  of the job per hour.


It means that they complete the job in   hours = 1 hours = 1 hour, 6 minutes and 40 seconds.   ANSWER

Solved.

------------------------------

It is a standard and typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site. See introductory lessons
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Selected joint-work word problems from the archive

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic
"Rate of work and joint work problems" of the section "Word problems".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
Jhon and Sam have a lawn mowing service. At one home, Jhon can mow the lawn by himself in (answered by ikleyn,greenestamps)

It takes Bob three hours to mow a lawn, and John can mow the same lawn in 2 hours. How... (answered by solver91311)

Molly and Mike are mowing the lawn. When Mike mows the lawn by himself it takes him 3... (answered by richwmiller)

John can mow a lawn in 2 hours, and Peter can mow the same lawn in 3 hours. How long... (answered by amarjeeth123)

Fred can mow the lawn in 1 hour. John can mow the lawn in 2 hours. How long will it take... (answered by stanbon)

Pam and John, working together, can mow the lawn in 2 hours. Working alone, John takes... (answered by josmiceli)

When Tim and John work together they can mow their entire lawn in 4 hours and 36 minutes. (answered by josmiceli)

It takes 3 hours for John to mow the lawn. Linda can mow the same lawn for 5 hours. How... (answered by josmiceli)

Together, Stanley and Elsie can mow a lawn in 3 hours. It takes elsie 5 hours to mow the (answered by stanbon)