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Refer to the diagram shown below.
Let the distance that Sassoon travels is d miles.
Let his average speed be x mph.
The time of travel is from 1 p.m. to 4 p.m., which is 3 hours.
Therefore
3x = d (1)
The distance that Archer travels is (d + 300) miles.
The time of travel is from 9 a.m. to 4 p.m., which is 7 hours.
The average traveling speed is (x + 20) mph, therefore
7(x + 20) = d + 300
That is,
7x + 140 = d + 300
7x = d + 160 (2)
Subtract (1) from (2).
7x - 3x = d + 160 - d
4x = 160
x = 40 mph (Sassoon's average speed)
x+20 = 60 mph (Archer's average speed)
From (1), obtain d = 120 mi
Answer:
Archer's speed is 60 mph.
Sassoon's speed is 40 mph.
Answer: x-intercept = -1, 1, 2, 3
We know that
<span>8 machines in the factory could make all the bottles in 5 days
so
100%-----------> 5 days
1 day------------> 100%/5------> 20% with 8 machines
1 machine work at the rate-------> 20%/8-----> 2.5% per day
day 1---------> </span><span>4 machines are used to make the bottles-----> 4*2.5%---> 10%
</span>day 2--------> 4 machines are used to make the bottles-----> 4*2.5%---> 10%
day 3-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 4-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 5-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 6-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
<span>total work in 6 days=[10+10+20+20+20+20]------> 100%
the answer is
6 days
</span>