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We have that, how long it will take for Liu to catch Mariel is mathematically given as
t=3.076s
From the question we are told
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
Generally the equation for the Average speed is  mathematically given as
[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]
Therefore
How long it will take for Liu to catch Mariel is mathematically given as
[tex]t=\frac{20}{6.5}[/tex]
t=3.076s
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