MATH PRECAL HELP please
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MATH PRECAL HELP please

[From: ] [author: ] [Date: 11-10-17] [Hit: ]
We also know that S = F + 80,2F + 1.So,2F + 1.2F + 1.5(F + 80) = 2920 ,......
Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts 1/2 hour after the first plane, but its speed is 80 kilometers per hour faster. Find the airspeed of each plane if 2 hours after the first plane departs the planes are 2920 kilometers apart.

-
casey -

The first plane travels for 2 hours at speed F
The second plane travels for 1.5 hours at speed S

We also know that S = F + 80, so here are the equations to solve:

2F + 1.5S = 2920
S = F + 80

So, now simply use substitution to solve

2F + 1.5S = 2920
2F + 1.5(F + 80) = 2920 , now just solve for F

3.5F = 2800
F = 800, now use S = F + 80

S = 880

Hope that helped
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