Question

REWARD AND MEDAL

2.) Grace leaves home at 8am TEN minutes later, Will notices Grace's lunch and begins bicycling after her. If Grace walks at 5km/h and Will cycles at 15 km/h, how long will it take him to catch up with her??????

Answer 1

hmm, I see, she left at 8am, and forgot her lunch anyhow

so how long do you think Will would have traveled in distance when he catches up with her? would you say by that time they'd have traveled the same distance?

Answer 2

10 minutes = 10/60 = 1/6 hours

let t = time elapsed (in hours) from when Grace leaves home

If Grace walks at 5 km/hr, then she will walk a total of 5t kilometers when she walks for t hours.

Will starts ten minutes or 1/6 hour later, so he will bike for t - 1/6 hours. This means he travels 15(t -1/6) km

Answer 3

idk

Answer 4

say, you leave home at 8am, and then your brother catches up with you
by the time your brother, also from home, catches up with you, you have already walked 2 miles

how long has he walked too?

Answer 5

2 miles?

Answer 6

if you had walked 2 miles, and your brother walked 3 miles
so he really passed you by, by 1 mile

if you had walked 2 miles, and your brother walked 1 mile
so he's still 1 mile behind you

if you had walked 2 miles, and your brother walked 1 1/2 miles
he hasn't gotten to you, he's still behind

Answer 7

however if you walked 2 miles, and he walked 2 miles, both from home
has he caught up with you? or pass you by or still behind you?

Answer 8

you aren't making sense.. can u just tell me what goes in the chart then tell me the equation??

Answer 9

lol

Answer 10

well, that's the idea behind it

Answer 11

can u tell me itd be helping me

Answer 12

anyhow, jim_thompson5910 already typed it in

Answer 13

grace walks 5t km

will bikes 5(t-1/6) km

the two will meet when the two distances are the same, so you need to solve

5t = 5(t-1/6)

Answer 14

sorry typo

Answer 15

will bikes 15(t-1/6), so the equation should be

5t = 15(t - 1/6)

Answer 16

how do u solve with the 1/6??

Answer 17

5t = 15(t - 1/6)

5t = 15t - 15(1/6) ... distribute

5t = 15t - 15/6 ... multiply

5t = 15t - 5/2 ... reduce

I'll let you finish up

Answer 18

subtract 5t next?

Answer 19

15t actually

Answer 20

5t=-5/2

Answer 21

???? is that right

Answer 22

T=-1/2 answer so -1/2 hours

Answer 23

5t - 15t = ???

Answer 24

i didn't put that anywhere

Answer 25

what is 5t - 15t

Answer 26

ys

Answer 27

simplify 5t - 15t for me

Answer 28

-10t

Answer 29

so we now have

-10t = -5/2

t = ??

Answer 30

x=-1/4

Answer 31

it's positive though

Answer 32

t = 1/4

Answer 33

so it takes 1/4 of an hour or 15 minutes for Will to catch up to Grace

Answer 34

how long would that be??

Answer 35

oh ok 15 or 1/4 of an hour. THANKS SO MUCH im posting another question sticka round

Answer 36

3.) a jet took one hour longer flying to Lincoln from Adams at 800 km/h than to return at 1200 km/h find the distance from Lincoln to Adams????

Answer 37

@jim_thompson5910