Respuesta :

Answer:the distance between the two cities is 100 miles

Step-by-step explanation:

Let x represent the distance between New York and Philadelphia.

Let t represent the time it takes to travel from New York to Philadelphia at 50 mph

Distance speed × time

time = distance/speed

To travel from New York to Philadelphia at 50 mph,

x = 50t

it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that

x = 60(t - 1/3) = 60t - 20

Since the distance is the same,

60t - 20 = 50t.

60t - 50t = 20

10t = 20

t = 20/10 = 2

Therefore

x = 50t = 50 × 2 = 100 miles

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