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Train A leaves the station traveling east at 55 mph, while train B leaves the station 45 minutes later traveling west at 70 mph. Choose the equation below that represents the distance in miles between the two trains, D, as a function of T, the time in hours after train B has departed.
A.
D = 125T
B.
D = 125T + 41.25
C.
D = 125T - 41.25
D.
D = 125T + 2475

Respuesta :

Answer: b)  [tex]D=125T+41.25[/tex]

Step-by-step explanation:

Given,

speed of train A travelling east = 55 mph

speed of train B travelling west = 70 mph

time train A travelled while train B was at rest = 45 min or [tex](\frac{3}{4})hr[/tex]

so, Distance travelled by train A while train B was at rest = [tex]55(\frac{3}{4} ) miles\\[/tex]

                                                                                               = [tex]41.25 miles[/tex]

Now, after 'T' hour both the train will travel;

train A = 55T

train B = 70T

hence, the distance (D) between two train in miles will be;

⇒ D = 41.25 + 55T + 70T

⇒ D = 125T + 41.25

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