Dwayne starts assembling marketing packets at 11 a.m. Ashlie starts assembling marketing packets at 11:30 a.m. and assembles at a rate of 90 packages per hour. By 2 p.m. Ashlie and Dwayne have assembled the same number of packets. How many packets per hour is Dwayne assembling?a. 75b. 60c. 90d. 45

Respuesta :

Answer:

Option A = 75 is the best option

Step-by-step explanation:

It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets

Rate = Number of jobs done/Time taken = 90 packages/hr

Number of jobs done = Rate * Time taken = 90 * 2.5 = 225 packages.

Dwayne has assembled the same number of packages = 225 (as reported in the question),

It took Ashlie 2.5 hours (11 am - 2pm)

Then, his work rate is calculated as:  Number of jobs done/Time taken = 225 packages/3 hours = 75

Thus, option A = 75 is the best option

The rate per hour for Dwayne to assemble the packets is 75 packets.

Ashlie starts assembling marketing packets at 11:30 a.m. and assembles at a rate of 90 packages per hour.

Dwayne starts assembling marketing packets at 11 a.m.

Now, at 2 PM Ashlie worked 2.5 hours and Dwayne worked 3 hours.

According to the question, Ashlie and Dwayne assemble the same number of packages at 2 PM.

Therefore,

The number of packages assembled by the Ashlie till 2 PM can be calculated as:

[tex]\begin{aligned}\rm{Assembled\;by\;Ashlie}&=\rm{Rate \times Time \;taken }\\&=2.5 \times 90\\&=225 \;\rm{Packets}\end{aligned}[/tex]

Now, the same number of packets is assembled by Dwayne.

Therefore,

[tex]\begin{aligned}\rm{Assembled\;by\;Dwayne}&=\rm{Rate \times Time \;taken }\\225&=3 \times \rm{Rate}\\&\rm{Rate}= 75\;\rm{Packets\;per\;hour}\end{aligned}[/tex]

Thus, the rate per hour for Dwayne to assemble the packets is 75 packets.

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https://brainly.com/question/2552909