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Sagot :
Answer:
4 hours
Step-by-step explanation:
Given
Car 1:
[tex]Speed = 26mph[/tex]
[tex]Time = h[/tex]
Car 2:
[tex]Speed = 52mph[/tex]
[tex]Time = h - 2[/tex] --- i.e. 2 hours after car 1
Required
Determine the time car 1 will meet car 2
To do this, we calculate the distance of both cars using:
[tex]Distance = Speed * Time[/tex]
For Car 1:
[tex]Distance = 26 * h[/tex]
[tex]Distance = 26h[/tex]
For Car 2:
[tex]x^{2} Distance = 52 * (h - 2)[/tex]
Open bracket
[tex]Distance = 52h - 104[/tex]
When car 2 meets up with car 1, they are at the same distance.
So:
[tex]26h = 52h - 104[/tex]
Collect Like Terms
[tex]26h - 52h = -104[/tex]
[tex]-26h = -104[/tex]
Solve for h
[tex]h = \frac{-104}{-26}[/tex]
[tex]h = 4[/tex]
Car 2 will catch car 1; 4 hours from the start
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