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the diagram shows how Apple's our process for Market. although the second conveyor belt is shorter, an apple spends the same time on each belt because the second belt moves 5 ft /sec slower than the first. Find the speed (in ft/sec) of each belt.first belt. ft/secsecond belt. ft/sec

the diagram shows how Apples our process for Market although the second conveyor belt is shorter an apple spends the same time on each belt because the second b class=

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Answer:

First belt: 7.5 ft/sec

Second belt: 2.5 ft/sec

Explanation:

Let s represent the speed of the 1st belt.

Distance of the 1st belt = 300ft

So time = distance / speed = 300 / s .............Equation 1

Speed of the 2nd belt = (s - 5)

Distance of the 2nd belt = 100 ft

So time = distance / speed = 100 / (s - 5) .........................Equation 2

Since an apple spends the same time on each belt, we can equate both equations for time and solve for s;

[tex]\begin{gathered} \frac{300}{s}=\frac{100}{s-5} \\ 300(s-5)=100s \\ 300s-1500=100s \\ 300s-100s=1500 \\ 200s=1500 \\ s=\frac{1500}{200} \\ s=7.5\text{ ft/sec} \end{gathered}[/tex]

Since the speed of the first belt is 7.5ft/sec, we can go ahead and solve for the speed of the 2nd given that it 5ft/sec slower than the 1st;

[tex]\text{ Sp}eed\text{ of the 2nd belt=}7.5-5=2.5\text{ ft/sec}[/tex]

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