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Norma-Jean [14]
3 years ago
9

On a field trip when their bus breaks down 40 miles from the school. A teacher takes 5 of them back to school in her car, travel

ling at an average speed of 40 miles per hour.
the other 5 students start walking towards school at a steady 4 miles per hour.
the teacher drops the 5 at school. Then immediately turns around and comes back for the others, again travelling at a steady speed of 40 miles per hour. How far have the students walked by the time the car reaches them?
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0
I think it would be 8 miles: it would have been 2 hours, so 4 * 2 is 8 miles.
:) Hope this helps!
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the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.
Setler79 [48]
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60

x=60
2x-20=2(60)-20=120-20=100

Solution: the length is 100 m, and the width is 60 m.

To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.


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