Math

QuestionCalculate the total miles logged by a paramedic this week: 112.34 on Monday, 84.27 each on Tue, Thu, Fri, and same as Mon on Wed.

Studdy Solution

STEP 1

Assumptions1. The miles logged on Monday is112.34 miles. The miles logged each day for Tuesday, Thursday, and Friday is84.27 miles3. The miles logged on Wednesday is the same as Monday

STEP 2

First, we need to find the total miles logged for Tuesday, Thursday, and Friday. We can do this by multiplying the miles logged each day by the number of days.
TotalmilesforTuesday,Thursday,andFriday=MilesloggedeachdaytimesNumberofdaysTotal\, miles\, for\, Tuesday,\, Thursday,\, and\, Friday = Miles\, logged\, each\, day \\times Number\, of\, days

STEP 3

Now, plug in the given values for the miles logged each day and the number of days to calculate the total miles for Tuesday, Thursday, and Friday.
TotalmilesforTuesday,Thursday,andFriday=84.27milestimes3daysTotal\, miles\, for\, Tuesday,\, Thursday,\, and\, Friday =84.27\, miles \\times3\, days

STEP 4

Calculate the total miles for Tuesday, Thursday, and Friday.
TotalmilesforTuesday,Thursday,andFriday=84.27milestimes3days=252.81milesTotal\, miles\, for\, Tuesday,\, Thursday,\, and\, Friday =84.27\, miles \\times3\, days =252.81\, miles

STEP 5

Now that we have the total miles for Tuesday, Thursday, and Friday, we can find the total miles for the week. This includes the miles logged on Monday, Wednesday, and the total miles for Tuesday, Thursday, and Friday.
Totalmilesfortheweek=MilesloggedonMonday+MilesloggedonWednesday+TotalmilesforTuesday,Thursday,andFridayTotal\, miles\, for\, the\, week = Miles\, logged\, on\, Monday + Miles\, logged\, on\, Wednesday + Total\, miles\, for\, Tuesday,\, Thursday,\, and\, Friday

STEP 6

Given that the miles logged on Wednesday is the same as Monday, we can simplify the equation toTotalmilesfortheweek=2timesMilesloggedonMonday+TotalmilesforTuesday,Thursday,andFridayTotal\, miles\, for\, the\, week =2 \\times Miles\, logged\, on\, Monday + Total\, miles\, for\, Tuesday,\, Thursday,\, and\, Friday

STEP 7

Plug in the values for the miles logged on Monday and the total miles for Tuesday, Thursday, and Friday to calculate the total miles for the week.
Totalmilesfortheweek=2times112.34miles+252.81milesTotal\, miles\, for\, the\, week =2 \\times112.34\, miles +252.81\, miles

STEP 8

Calculate the total miles for the week.
Totalmilesfortheweek=2times112.34miles+252.81miles=477.49milesTotal\, miles\, for\, the\, week =2 \\times112.34\, miles +252.81\, miles =477.49\, milesThe total miles entered on this week's trip log is477.49 miles.

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