Question 823761: Jared rode 4 and 3 fourth miles in 1 fourth hour. What is Jared's unit rate in miles per hour? Found 2 solutions by TimothyLamb, math-vortex:Answer by TimothyLamb(4379) (Show Source):
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(4+3/4)/(1/4)
(16/4+3/4)/(1/4)
(19/4)/(1/4)
(19/4)*4
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answer:
19 mph
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Hi, there--
THE PROBLEM:
Jared rode 4 and 3/4 miles in 1/4 hour. What is Jared's unit rate in miles per hour?
A SOLUTION:
The are a number of ways to solve this problem. Here is one:
METHOD 1: We want to know the Jared's unit rate in miles per hour. In other words, how far
does he ride each hour.
We are told how far Jared walked in 1/4 hour (4 3/4 miles). There are four 1/4 hour time
segments in one hour. In each of those segments, Jared rode 4 3/4 miles. So we multiply
4 * (4 3/4) = 19 miles
Jared rides 19 miles in each hour, or 19 miles per hour.
You can also set this up as an equation of equivalent ratios/fractions. This method is simpler
with numbers written as decimals.
4 3/4 = 4.75
1/4 = .25
Let x be the distance Jared travels in one hour.
Here is the ratio for distance-to-time:
Multiply the left hand side by 4/4 to make the denominators the same
Multiply the fractions on the left hand side.
We see that x = 19. Jared rides at a rate of 19 miles per hour.
~Mrs. Figgy
