SOLUTION: if you leave you house at 5:20 a.m. to get to work, which is 20 miles away; if you drive 40 miles an hour, what time will you arrive at work?

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Question 904931: if you leave you house at 5:20 a.m. to get to work, which is 20 miles away; if you drive 40 miles an hour, what time will you arrive at work?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let's distance be d, time t, and speed s
if you leave you house at t%5B1%5D=5%3A20 a.m. to get to work, which is d=20+miles away; if you drive s=40mph,what time t%5B2%5D, will you arrive at work
t=t%5B2%5D-t%5B1%5D+

so, d=s%2At
d=s%2A%28t%5B2%5D-t%5B1%5D%29
given:
d=20mil
s=40%28mil%2Fh%29
t%5B1%5D=5%3A20=5h%2B20%2F60h=5h%2B0.33h=5.33h a.m.
d=s%2A%28t%5B2%5D-t%5B1%5D%29 ...plug in given values
20mil=40%28mil%2Fh%29%2A%28t%5B2%5D-5.33h%29 ...solve for t%5B2%5D
20cross%28mil%29%2F40%28cross%28mil%29%2Fh%29=%28t%5B2%5D-5.33h%29
0.5h=t%5B2%5D-5.33h
0.5h%2B5.33h=t%5B2%5D
5.83h=t%5B2%5D............... time that will you arrive at work

so, t=t%5B2%5D-t%5B1%5D+
t=5.83h+-5.33h+

t=0.5h or t=30min... time you will spend driving to work