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Ne4ueva [31]
4 years ago
10

Mario can run 6 miles in 50 minutes. At this rate how many miles can he run in 30 minutes?

Mathematics
2 answers:
Reil [10]4 years ago
8 0

6/50 = x/30
180=50x
3.6=x
3.6 miles
prohojiy [21]4 years ago
8 0
Comment
You are not always obligated to change minutes to hours, especially in a question like this one where times are both given in minutes, and there are only 2 times given.

<em>Givens</em>
d1 = 6 miles
t1 = 50  minutes
r = ???

Equation and solution.
r = d1/t1
r = 6 / 50
r = 0.12 miles / minute. The rate is the same for the next part.

Part 2
<em>Givens</em>
t2 = 30 minutes
r = 0.12 miles/minute
d2 = ???

d = r * t2
d = 0.12 miles/minute * 30 minutes
d = 3.6 miles Note the minutes cancel.

Comment.
There is a quicker way of doing this. The two rates are the same, so you could create a proportion.

d1/t1 = d2/t2
d1 = 6 miles
t1 = 50 minutes
d2 = ???
t2 = 30 minutes

6/50 = d2/30 Cross miltiply
180 = 50 * d2 Divide by 50
180/50 = d2
3.6 = d2

Answer 3.6 miles
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