18. Let's start by finding the ratio, since this will make it easier to model it on the number line.
We can write 6 as
so
In order to do a division of fractions, we multiply both ends of the operation and put the result in the numerator, and then we multiply the two numbers in the middle and put them in the denominator:
In other words, the quotient is 8.
17. Now that we know the result of the operation, we simply mark the 8 on the number line:
Answer:
<em>Both trains will meet at 2.2 hours (2 hours and 12 minutes).</em>
Step-by-step explanation:
<u>Relative Speed</u>
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:
Both trains will meet at 2.2 hours (2 hours and 12 minutes).