I have this question that I quite don't understand so please someone explain to me how to do it! :D
Maria began hiking o a trail at a rate of 4 miles per hour for 30 minutes. For the next 1 hour and 15 minutes, she hiked at a rate of 3 miles per hour and completed the trail. What is the total distance Maria hiked?
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jimthompson5910 (jim_thompson5910):
"Maria began hiking a trail at a rate of 4 miles per hour for 30 minutes"
so how far has she gone?
OpenStudy (anonymous):
2 miles
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
I know that the 1 hour and 15 minutes got me.
jimthompson5910 (jim_thompson5910):
15 min = 15/60 = 1/4 = 0.25 hours
So 1 hr, 15 min = 1 hr + 15 min = 1 hr + 0.25 hr = 1.25 hr
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jimthompson5910 (jim_thompson5910):
I'm converting to hours because the speed is given in miles per hour
OpenStudy (anonymous):
Ok i dont understand.
jimthompson5910 (jim_thompson5910):
do you see how 15 min is 0.25 hrs?
OpenStudy (anonymous):
How do i convert 1 hour and 15 minutes?
OpenStudy (anonymous):
Yes I see that.
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jimthompson5910 (jim_thompson5910):
ok so 1 hr and 15 min is equal to 1 hr + 15 min or 1 hr + 0.25 hr
jimthompson5910 (jim_thompson5910):
Then you add 1 and 0.25 to get 1.25
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
Yea i see that.
jimthompson5910 (jim_thompson5910):
ok so 1 hr, 15 min = 1.25 hours
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OpenStudy (anonymous):
Oh so in total i add 1.25 and 2?
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
where are you getting 2?
jimthompson5910 (jim_thompson5910):
oh nvm i see
OpenStudy (anonymous):
lol ok
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OpenStudy (anonymous):
So i do add them
jimthompson5910 (jim_thompson5910):
no what you do is find the distance she traveled
she traveled at 3 mph for 1.25 hrs
OpenStudy (anonymous):
so i divide 1.25 by 3
jimthompson5910 (jim_thompson5910):
how far did she go if she traveled at 3 mph for 1.25 hrs
OpenStudy (anonymous):
Um
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OpenStudy (anonymous):
Do i divide that?
jimthompson5910 (jim_thompson5910):
how did you find 2 miles for the first part?
OpenStudy (anonymous):
I divide 4 by 2
jimthompson5910 (jim_thompson5910):
btw the site is being weird, so you may have to be patient
jimthompson5910 (jim_thompson5910):
i see
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jimthompson5910 (jim_thompson5910):
well you should have thought of 30 minutes as 1/2 an hour, or 0.5 hours
so 4*(1/2) = 2 or 4*(0.5) = 2
jimthompson5910 (jim_thompson5910):
for the second part, 3*(1.25) = 3.75 is the distance she traveled
OpenStudy (anonymous):
lol i did
OpenStudy (anonymous):
So how exactly do I get the answer of 1 hour and 15 mins
jimthompson5910 (jim_thompson5910):
like I did above, you multiply
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jimthompson5910 (jim_thompson5910):
since d = r*t
OpenStudy (anonymous):
r?
OpenStudy (anonymous):
and t?
jimthompson5910 (jim_thompson5910):
r is the rate, t is the time
jimthompson5910 (jim_thompson5910):
rate = speed
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
so 1.25 times 3
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
equals 3.75
OpenStudy (anonymous):
So i add 3.75 and 2
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jimthompson5910 (jim_thompson5910):
this is only possible once you have converted everything to hours