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Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?

Respuesta :

Answer: [tex]4.016\ hr[/tex]

Step-by-step explanation:

Given

Train A has speed of [tex]v_a=75\ mph[/tex]

Train B has speed of [tex]v_b=50\ mph[/tex]

If Paris and Pisa is 500 miles apart

If they meet x hours after the start

The sum of the distances traveled by Train A and B is 500 miles

[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]

So, after [tex]4.016\ hr[/tex] they will pass each other.

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