SOLUTION: Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 76 minutes. Billy could mow the lawn by himself in 35 minutes less time that it would take Bo

Algebra.Com
Question 1134521: Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 76 minutes. Billy could mow the lawn by himself in 35 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by​ himself?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
Let x be that time for Bobby (the value under the problem's question).


Then the time for Billy alone is  (x-35) minutes.


Now,   Bobby makes    of the job per minute,

while  Billy makes    of the job per minute.


Working together,  they make   +   of the job per minute.

Their combined rate is exactly    of the total job, which gives you an equation


     +  = ,      (1)


and now it is your job to solve it !


The first step in solving is to multiply both sides of the equation (1)  by  76*x*(x-35).


You will get a quadratic equation then, and I wish you to get a full success in solving it !


Happy calculations !

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

To see many similar solved problems,  look into the lesson
    - Using quadratic equations to solve word problems on joint work
in this site.

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

The referred lesson is 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

Twin brothers, Billy and Bobby, can mow their grandparents lawn together in 89 minutes.... (answered by ad_alta)
Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 63... (answered by VFBundy)
Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 96 (answered by VFBundy)
Twin brothers, Billy and Bobby can mow the their lawn together in 65 minutes. billy could (answered by josgarithmetic)
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 69 minutes.... (answered by stanbon)
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 69 minutes.... (answered by mananth)
Twin brothers Billy and bobby, can mow their grandparents lawn together in 108 minutes.... (answered by ankor@dixie-net.com)
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 92 minutes.... (answered by richwmiller)
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 101 minutes. (answered by richwmiller,stanbon)
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 92 minutes.... (answered by ewatrrr)