Gina Wilson All Things Algebra 2015, Unit 11
2 answers:
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Answer:
The equation would be .
Allen will Run for 2 hours.
Step-by-step explanation:
Given:
Total Distance traveled = 30 miles
Average rate of walking = 3 mi/hr
Average rate of running = 9 mi/hr
Time for walking = 4 hours
W need to find the time for running.
Solution:
Let Number of hrs required for running be 'x'.
Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running
But Distance is equal Rate multiplied by Time.
Framing in equation form we get;
Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.
Substituting the values we get;
Hence The equation would be
Solving above equation we get;
Hence Allen will Run for 2 hours.
If the unknown value is x, then x = × 6 = 21.
Explanation:
- Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
- The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be;
=
=
=
=
= 3.5. So
- We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration. So
= 21.