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 ta
ke him 1.5 hours longer. How far is the friend's village from Lucas' house?
1 answer:
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.
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