Question #3613e

1 Answer
Apr 10, 2017

I got: #7/20"hours"#

Explanation:

The distance the turtle covers from her home to the seashore is:
#d=vt=3/10*14/20=21/100"miles"#
travelling at #2*3/10=3/5"miles"/"hour"#
she will cover the same distance in the time:
#t=d/v=(21/100)/(3/5)=21/100*5/3=7/20"hours"#

I think we can also use a prportion (maybe the reason why it is in "Algebra") where:
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so we get:
#(3/10)/(2*3/10)=x/(14/20)#
rearranging:
#x=14/20*(cancel(3/10))/(2*cancel(3/10))=7/20"hours"#