Let s = northbound train
Then
2s = southbound train
:
Distance = time * speed
4s + 4(2s) = 600
:
4s + 8s = 600
:
12s = 600
:
s = 600/12
:
s = 50 mph is the northbound train
Then
2(50) = 100 mph is the southbound train
:
:
Check:
4(50) + 4(100) = 600
120/100 = x/15
100x = 1800 (Divide by 100 on both sides)
x = 18
Answer:
Carmen can make
full servings.
Step-by-step explanation:
Given : Carmen mixes
cups of water with
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made = ![3\frac{1}{2}+3\frac{3}{8}](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%2B3%5Cfrac%7B3%7D%7B8%7D)
Solving , we get,
Total quantity of punch Carmen made = ![\frac{7}{2}+\frac{27}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B27%7D%7B8%7D)
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made = ![\frac{28+27}{8}=\frac{55}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B28%2B27%7D%7B8%7D%3D%5Cfrac%7B55%7D%7B8%7D)
Also, given She pours
cup servings of punch.
Thus,
cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes
serving cup.
cup makes = ![\frac{3}{2}\times\frac{55}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Ctimes%5Cfrac%7B55%7D%7B8%7D)
cup makes = ![\frac{165}{16}=10\frac{5}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B165%7D%7B16%7D%3D10%5Cfrac%7B5%7D%7B16%7D)
Thus, She can make
full servings.