Question

Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. If they work together, they can complete the job in 3 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jimmy to complete this job on his own.

Answer 1

triciaal

Answer 2

@Pico33 please help

Answer 3

ok

Answer 4

Ok so Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. If they work together, they can complete the job in 3 hours.

Answer 5

yes

Answer 6

x(x-8)/(x+x-8) = 3

Answer 7

Could you walk me through it? im not sure how to work through it.

Answer 8

Okay :)

Answer 9

thanks :)

Answer 10

@mathstudent55?

Answer 11

X is Jimmy's time if he completes the job alone.
x(x-8)/(x+x-8) = 3
(x^2 - 8x)/(2x-8) = 3
cross multiply then simplify and solve for x

Answer 12

so what do you get?

Answer 13

could we add together the 8x and the 2x?

Answer 14

x^2-8x / 2x - 8 = ?

Answer 15

3/1

Answer 16

im not sure what to do next

Answer 17

x^2-8x/6x-24

Answer 18

x^2-14x+24=0

Answer 19

factor it (x-12)(x-2)=0

Answer 20

x = 12

Answer 21

Jimmy = 12 hours

Harry = 4 hours

Answer 22

So do you see that Harry is 8 hours faster than his brother?

Answer 23

so your answer is 12

Answer 24

Got it?

Answer 25

@icefire @triciaal

Answer 26

yes thank you

Answer 27

@icefire do you understand how we got the equation to start?
@Pico33 thank you so much because I am exhausted.

Answer 28

it's almost 3am I should go to sleep

Answer 29

thank you