Set up a proportion: (1/4)/6 = 32/x
Cross multiplying, we have (1/4)x = 192
x = (4)(192) = 768 miles
Answer:
62.5 mph
Step-by-step explanation:
Given that :
Peter :
Speed = 50mph
Start Time = 9 a. M
Emily :
Start time = 9:30
Speed = x
In other to catch up at 11:30 :
Peter (11:30 - 9:00) = 2hours 30 minutes = 2.5 hrs
Total distance moved by Peter :
Speed * time = 50 * 2.5 = 125miles
For Emily to cover 125 miles in (11:30 - 9:30) = 2 hours
Speed = distance / time
Speed = 125 miles / 2 hours
Speed = 62.5 miles per hour
Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b
so we also need to convert ax+by=c into y=mx+b as shown below:



divide both sides by

Now compare it with y=mx+b, we get

So using values of a and b, we can find the slope
compare given equation -5x+2y=15 with ax+by=c, we get:
a=-5, b=2
Now plug both into above formula



Now matching these details with given choices we find that THIRD choice is the final answer.