qr code generator vb.net 2010 Worker Joe Jerry Together in .NET framework

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Joe takes 45 minutes to mow a lawn His older brother Jerry takes 30 minutes to mow the lawn If they work together, how long will it take for them to mow the lawn The quantity in each of the three cases is 1 there is one yard to be mowed Use the formula Q rt and the data given in the problem to ll in all nine boxes Because we are looking for the time (in minutes) it takes for them to mow the lawn together, let t represent the number of minutes needed to mow the lawn together
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Because Q rt, r Q=t But Q 1, so r 1=t This makes Joe s rate 1/45 and Jerry s rate 1/30 The together rate is 1=t
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Worker Joe Jerry Together Quantity 1 1 1 Rate 1/45 1/30 1/t Time 45 30 t
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Of the four equations on the chart, only Joe s rate Jerry s rate Together rate has enough information in it to solve for t
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CHAPTER 8 Linear Applications
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The equation to solve is 1=45 1=30 1=t The LCD is 90t 1 1 1  45 30 t    1 1 1 90t 90t 45 30 t     1 1 90t 90t 90 45 30 2t 3t 90 5t 90 90 t 5 t 18 They can mow the yard in 18 minutes Tammy can wash a car in 40 minutes When working with Jim, they can wash the same car in 15 minutes How long would Jim need to wash the car by himself Let t represent the number of minutes Jim needs to wash the car alone
Worker Tammy Jim Together Quantity 1 1 1 Rate 1/40 1/t 1/15 Time 40 t 15
The equation to solve is 1=40 1=t 1=15 The LCD is 120t 1 1 1 40 t 15     1 1 1 120t 120t 40 t 15     1 1 120t 120t 8t 40 t
CHAPTER 8 Linear Applications
3t 120 8t 3t 3t 120 5t 120 t 5 24 t Jim needs 24 minutes to wash the car alone Kellie can mow the campus yard in 21 hours When Bobby helps, they 2 can mow the yard in 11 hours How long would Bobby need to mow the 2 yard by himself Let t represent the number of hours Bobby needs to mow the yard 1 himself Kellie s time is 21 or 5 Then her rate is 2 2 5=2 1 5 2 2 1 1 5=2 2 5 5 1 1 The together time is 12 or 3, so the together rate is 2 3=2 1 3 2 2 1 1 3=2 2 3 3
Worker Kellie Bobby Together Quantity 1 1 1 Rate 2/5 1=t 2/3 Time 21 2 t 11 2
The equation to solve is 2=5 1=t 2=3 The LCD is 15t 2 1 2 5 t 3     2 1 2 15t 15t 5 t 3     2 1 15t 15t 10t 5 t
CHAPTER 8 Linear Applications
6t 15 10t 6t 6t 15 4t 15 t 4 Bobby needs 15=4 3 3 hours or 3 hours 45 minutes to mow the yard by 4 himself
Practice
1 Sherry and Denise together can mow a yard in 20 minutes Alone, Denise can mow the yard in 30 minutes How long would Sherry need to mow the yard by herself 2 Together, Ben and Brandon can split a pile of wood in 2 hours If Ben could split the same pile of wood in 3 hours, how long would it take Brandon to split the pile alone 3 A boy can weed the family garden in 90 minutes His sister can weed it in 60 minutes How long will they need to weed the garden if they work together 4 Robert needs 40 minutes to assemble a bookcase Paul needs 20 minutes to assemble the same bookcase How long will it take them to assemble the bookcase if they work together 5 Together, two pipes can ll a reservoir in 3 of an hour Pipe I needs 4 one hour ten minutes (11 hours) to ll the reservoir by itself How 6 long would Pipe II need to ll the reservoir by itself 6 A pipe can drain a reservoir in 6 hours 30 minutes (61 hours) A 2 larger pipe can drain the same reservoir in 4 hours 20 minute (41 3 hours) How long will it take to drain the reservoir if both pipes are used
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