Question

To travel from New York to Philadelphia at 50 mph, it takes 20 more minutes than to travel the same distance at 60 mph. Find the distance between the two cities.

Answer 1

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