QuestionHow many extra hours must Joe work to match Tim's earnings in 4 hours if Joe earns \$20/hour and Tim earns \$30/hour?

Studdy Solution

STEP 1

Assumptions1. Joe earns $20 per hour. Tim earns$ 30 per hour3. We want to find out how many more hours Joe needs to work to earn the same amount that Tim earns in4 hours

STEP 2

First, we need to calculate how much Tim earns in4 hours. We can do this by multiplying Tim's hourly wage by4.
$Tim's\, earnings = Tim's\, hourly\, wage \\times4\, hours$

STEP 3

Now, plug in the given values for Tim's hourly wage to calculate his earnings.
$Tim's\, earnings = \$30 \\times\, hours$

STEP 4

Calculate Tim's earnings.
$Tim's\, earnings = \$30 \\times4\, hours = \$120$

STEP 5

Now that we have Tim's earnings, we can find out how many hours Joe needs to work to earn the same amount. We can do this by dividing Tim's earnings by Joe's hourly wage.
$Joe's\, hours = Tim's\, earnings / Joe's\, hourly\, wage$

STEP 6

Plug in the values for Tim's earnings and Joe's hourly wage to calculate the hours Joe needs to work.
$Joe's\, hours = \$120 / \$20$

STEP 7

Calculate the hours Joe needs to work.
$Joe's\, hours = \$120 / \$20 =6\, hours$

STEP 8

Now that we have the hours Joe needs to work to earn the same amount as Tim, we can find out how many more hours this is than the4 hours Tim worked. We can do this by subtracting4 from the hours Joe needs to work.
$Extra\, hours = Joe's\, hours - Tim's\, hours$

STEP 9

Plug in the values for Joe's hours and Tim's hours to calculate the extra hours.
$Extra\, hours =6\, hours -4\, hours$

STEP 10

Calculate the extra hours Joe needs to work.
$Extra\, hours =6\, hours -4\, hours =2\, hours$ Joe needs to work2 hours more than Tim to earn the same amount Tim makes in4 hours.

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