Math

QuestionDan completes a painting every 3 weeks. John shovels snow for 5 houses in 2 hours. How long for 13 houses? Baxter boys prep 25 papers in 3 min. Time for 131 papers?

Studdy Solution

STEP 1

Assumptions1. Dan finishes a painting every three weeks. . John can shovel snow off the sidewalks in front of5 houses on his street in two hours.
3. The Baxter boys can prepare newspapers for delivery on a rainy morning at a rate of25 in3 minutes.

STEP 2

First, we need to find out how long it will take John to shovel snow off the sidewalks in front of all13 houses on his street. We can do this by setting up a proportion.
5houses2hours=13housesxhours\frac{5\, houses}{2\, hours} = \frac{13\, houses}{x\, hours}

STEP 3

Now, solve for x.
x=13houses×2hours5housesx = \frac{13\, houses \times2\, hours}{5\, houses}

STEP 4

Calculate the time it will take John to shovel snow off the sidewalks in front of all13 houses.
x=13×2=.2hoursx = \frac{13 \times2}{} =.2\, hoursJohn will take approximately.2 hours to shovel snow off the sidewalks in front of all13 houses on his street.

STEP 5

Next, we need to find out how long it will take the Baxter boys to prepare131 papers. We can do this by setting up another proportion.
25papers3minutes=131papersyminutes\frac{25\, papers}{3\, minutes} = \frac{131\, papers}{y\, minutes}

STEP 6

Now, solve for y.
y=131papers×3minutes25papersy = \frac{131\, papers \times3\, minutes}{25\, papers}

STEP 7

Calculate the time it will take the Baxter boys to prepare131 papers.
y=131×325=15.72minutesy = \frac{131 \times3}{25} =15.72\, minutesTo the nearest minute, the Baxter boys will take approximately16 minutes to prepare131 papers.

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