anonymous
  • anonymous
Im so freaking confused and stupid help me
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
All of the questions are based off of this word problem: efren leaves home at 9am and walks 4 mph. his bro greg leaves 1/2 hr later and runs 8.5 mph in the same direction as efren. predict the time at which gred will catch up to efren
anonymous
  • anonymous
write an expression for the distance of greg's travels per hour let h stand for time in hours!
anonymous
  • anonymous
write an expression for the distance efren travels per hour plus the distance he will have traveled when greg leaves the house

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jim_thompson5910
  • jim_thompson5910
if greg runs at a speed of 8.5 mph and he runs for h hours, how far will he run?
anonymous
  • anonymous
i dont know
anonymous
  • anonymous
im really stupid no joke when it comes to math
jim_thompson5910
  • jim_thompson5910
you're not stupid, you just need more practice
jim_thompson5910
  • jim_thompson5910
say he ran for 1 hour how far would he get?
anonymous
  • anonymous
8.5 miles?
jim_thompson5910
  • jim_thompson5910
good, in 2 hours he will go ____ miles
anonymous
  • anonymous
17
jim_thompson5910
  • jim_thompson5910
how did you get that
anonymous
  • anonymous
8.5 x 2
jim_thompson5910
  • jim_thompson5910
so in 3 hours, he will run 8.5 x 3 = 25.5 miles so in 4 hours, he will run 8.5 x 4 = 34 miles .... in general... if he runs h hours (some unknown amount of hours), then he will run 8.5 x h or just 8.5h miles
jim_thompson5910
  • jim_thompson5910
so if d = distance traveled, then d = 8.5h
anonymous
  • anonymous
oh okay so it says write an expression but im confused on how to write one
jim_thompson5910
  • jim_thompson5910
ok so you'll just write 8.5h
jim_thompson5910
  • jim_thompson5910
8.5h is the expression d = 8.5h is the equation
anonymous
  • anonymous
what about the other expression i have to write for efren
jim_thompson5910
  • jim_thompson5910
keep in mind that greg started 1/2 hour later than efren
jim_thompson5910
  • jim_thompson5910
so you have to account for that
anonymous
  • anonymous
oh & it says plus the distance he wil he will have traveled when greg leaves
jim_thompson5910
  • jim_thompson5910
let's assume they both start at the same time (9:30 am) if efren walks at 4 mph and he does this for h hours, then he will walk a total of 4h miles
anonymous
  • anonymous
so would it be greg leaving at 9:30??
jim_thompson5910
  • jim_thompson5910
but this isn't the whole story because efren leaves at 9:00 am instead of 9:30 am so he's got a 1/2 hr head start
anonymous
  • anonymous
okay
anonymous
  • anonymous
but i dont know what the distance formula is either thats one of the questions
jim_thompson5910
  • jim_thompson5910
so you have to add in the fact that he walked some additional distance in that half hour where he got the head start if he walked 0.5 hours (1/2 hr) at a speed of 4 mph, then he would have walked 4*0.5 = 2 miles
jim_thompson5910
  • jim_thompson5910
distance formula: distance = rate x time d = r x t d = rt
jim_thompson5910
  • jim_thompson5910
rate is known as speed
anonymous
  • anonymous
oh yeah i remember that lol
anonymous
  • anonymous
so he walked 2 miles??
jim_thompson5910
  • jim_thompson5910
yes in that half hour where he got the head start
jim_thompson5910
  • jim_thompson5910
so he walked 2 miles in the first half hour then he walked an additional 4h miles after 9:30 am
jim_thompson5910
  • jim_thompson5910
in total, efren walked 2+4h or 4h + 2 miles
anonymous
  • anonymous
so what expression would be for efren plus the distance he would of traveled when greg left
jim_thompson5910
  • jim_thompson5910
4h + 2
jim_thompson5910
  • jim_thompson5910
4h is the amount he traveled when greg left 2 is the amount he traveled when greg was still at home
anonymous
  • anonymous
oh i see, sorry ive been up all night doing this and im annoyed and fed up :(
jim_thompson5910
  • jim_thompson5910
thats ok
jim_thompson5910
  • jim_thompson5910
to find out when the two will meet, you just set the two expressions equal to one another
jim_thompson5910
  • jim_thompson5910
8.5h = 4h + 2 and solve for h
anonymous
  • anonymous
so the next question is weird it says write an equation setting the distance expressions in steps 3 and 4 equal
jim_thompson5910
  • jim_thompson5910
yep you want to find out when the two will walk the same distance (ie find out when/where the two will meet)
anonymous
  • anonymous
could you help me figure that out ill try to do most my self
jim_thompson5910
  • jim_thompson5910
well you see how i got 8.5h = 4h + 2 right?
anonymous
  • anonymous
yup!
anonymous
  • anonymous
you added the time he waited to the expression
jim_thompson5910
  • jim_thompson5910
ok great, subtract 4h from both sides 8.5h = 4h + 2 8.5h - 4h = 2 4.5h = 2 what's next?
anonymous
  • anonymous
4.5 = 2 - 2 ?
jim_thompson5910
  • jim_thompson5910
4.5h is the same as 4.5 x h
jim_thompson5910
  • jim_thompson5910
how do you undo multiplication
anonymous
  • anonymous
OH! :) I know!! 4.5h/4.5 2/4.5
anonymous
  • anonymous
you divide 2 by 4.5
anonymous
  • anonymous
am i right?
jim_thompson5910
  • jim_thompson5910
you are correct
jim_thompson5910
  • jim_thompson5910
so h = ??
jim_thompson5910
  • jim_thompson5910
2/4.5 = ?
anonymous
  • anonymous
h = 0.4 repeating (so line over the 4)
jim_thompson5910
  • jim_thompson5910
so that's the rough approximation of how many hours it will take (after 9:30) for the two to meet
jim_thompson5910
  • jim_thompson5910
and for the two to travel the same distance
jim_thompson5910
  • jim_thompson5910
convert to minutes to get: 0.444*60 = 26.64 so it will take about 26.64 minutes
anonymous
  • anonymous
thank you very much for helping me i wish i was as smart as you i struggle just to keep my B- average
jim_thompson5910
  • jim_thompson5910
I'm sure you'll do fine, just keep your head up and keep practicing
anonymous
  • anonymous
thank you jim have a nice day!
jim_thompson5910
  • jim_thompson5910
you're welcome
jim_thompson5910
  • jim_thompson5910
you too

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