Two buses leave st. louis from the same station. one leaves at 5: 00 pm, traveling north to chicago at an average speed of 50 mph. the second leaves at 5: 30 pm, traveling south to new orleans, also at an average speed of 50 mph. at what time are they 325 miles apart?

8:30 PM

Explanation:

v =Velocity

t = time

s = Distance

Let us find how much distance will the bus headed to Chicago will cover in half an hour

s = vt

s = 50×0.5

s = 25 miles

So, the gap between them is 25 miles when the other bus starts

So, each bus would cover the same distance which is 325-25/2 = 300/2 = 150 miles after taking into account the initial gap

s = vt

150 = 50t

150/50 = t

3 hours = t

Time taken for the gap to be 300 miles is 3 hours

Time taken for the gap to be 325 miles is 3+0.5 hours = 3.5 hours

So, the time when the gap will be 325 miles is

5:00 PM + 3:30

8:30 PM

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

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