Question

GOD HALP MEEE: It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend's village from Lucas' house?

Answer 1

Answer:

45 miles

Explanation:

Speed = distance / time

Lets assume :

speed = x

Distance = D

Time = 3 hours

so in first case :

x = D / 3

D = 3x

Second case :

speed = x-5  ( he is traveling 5mph slower )

Distance = D ( Distance is same )

time = 4.5 hour

so,

x-5 = D / 4.5

D = 4.5(x-5)

since D is same in both cases.

3x = 4.5(x-5)

3x = 4.5x - 22.5

4.5x - 3x = 22.5

1.5x = 22.5

x = 22.5/1.5

x= 15

so speed is 15mph

D= 3x

so Distance = 3*15 = 45 Miles.