Mathematics
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OpenStudy (anonymous):
Grant can row 6 miles in 36 minutes. Arianna can row 3,520 yards in 20 minutes. In miles per hour, how much faster does Grant row than Arianna?
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OpenStudy (anonymous):
1 mile is 1760yds
Grant's speed is \[\frac{ 1mile }{ 1\min }\]
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
3520yd divide by 1760yd you get 2miles
OpenStudy (anonymous):
so arianna's speed is
\[\frac{ 1mile }{ 10mins } = \frac{ 0.1mile }{ 1\min }\]
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
would equal up to be 29.3
OpenStudy (anonymous):
so we convert them mile/min to mph
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
multiple both grant and arianna speed by 60 to get the units to mile per hour. Then:
Grant's speed - Arianna's speed
OpenStudy (anonymous):
I got 29.3 for Arianna
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OpenStudy (anonymous):
What's your calculation steps?
OpenStudy (anonymous):
5.156.8
OpenStudy (anonymous):
No... Arianna's speed is in yards, you need to convert it to miles
OpenStudy (anonymous):
so convert 29.3 to yards
OpenStudy (anonymous):
I meant mile
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OpenStudy (anonymous):
Arianna row 3520 yards in 20mins
1 mile is 1760 yards
\[\frac{ 3520yd }{ 1760yd } = 2 miles\]
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
6195200
OpenStudy (anonymous):
\[\frac{ 2miles }{ 20mins } = \frac{ 1mile }{ 10mins } = \frac{ 0.1miles }{ 1\min }\]
OpenStudy (anonymous):
40
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OpenStudy (anonymous):
40?
OpenStudy (anonymous):
I got 40 somehow
OpenStudy (anonymous):
ok we have both Grant and Arianna speed in miles per min (check the working above) now we convert them to miles per hour
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
Think I made a typo the top again....at Grant's speed should be
\[\frac{ 0.1667miles }{ 1\min }\]
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OpenStudy (anonymous):
Multiply Grant's speed by 60 you should get 10miles per hour
Multiply Arianna's speed by 60 you should get 6miles per hour
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
10-6=4 which is the answer
OpenStudy (anonymous):
okay