Respuesta :
Answer:
96
Step-by-step
the distance from the amusement to jack's home is x (mile, x>0)
jack's family went to the amusement park at: 9 + x/60
On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph
they left the amusement park at: 20 - x/40
have the following equation:
(20 - x/40) - (9+ x/60) = 7
⇔ 4 = x/40 + x/60
⇔ x = 96
so the distance from the amusement park to jack's home is 96 mile
Distance of amusement park from Jack's home = 96 miles
- Let the distance from Jackie's house to the amusement park be x.
She drove at a speed of 60 mph to get to the amusement park.
- Now, formula for time is;
Time = distance/speed
Time; t1 = x/60 hours
- Now, we are told she spent 7 hours at the park. Thus; t2 = 7 hours
- On her way back home from school, we are told she drove 20 mph slower than her speed in the morning. Thus, speed = 60 - 20 = 40 mph
Thus; time; t3 = x/40
- Now, she left home by 9 am and got home by 8pm same day. This is a total of t = 11 hours
Thus;
t1 + t2 + t3 = 11
Plugging in the relevant values;
(x/60) + 7 + (x/40) = 11
Rearrange to get;
(x/60) + (x/40) = 11 - 7
(x/60) + (x/40) = 4
Multiply through by 120 to get
2x + 3x = 480
5x = 480
x = 480/5
x = 96 miles
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