QuestionA car traveled from 1350 to 1815. How long was the journey? After a $1 \frac{1}{2}$ hour break, how long did she drive?

Studdy Solution

STEP 1

Assumptions1. The car left at1350 (which is150 PM in24-hour format) . The car arrived at1815 (which is615 PM in24-hour format)
3. The driver took one break for $1 \frac{1}{}$ hours4. The total journey time includes both driving and break time

STEP 2

First, we need to find out how long the total journey took. We can do this by subtracting the departure time from the arrival time.
$Total\, journey\, time = Arrival\, time - Departure\, time$

STEP 3

Now, plug in the given values for the arrival time and departure time to calculate the total journey time.
$Total\, journey\, time =1815 -1350$

STEP 4

To make the calculation easier, convert the times from the24-hour format to the12-hour format. $1350 =150 PM$ $181 =615 PM$

STEP 5

Now, subtract the departure time from the arrival time to find the total journey time.
$Total\, journey\, time =15 PM -150 PM$

STEP 6

Calculate the total journey time.
$Total\, journey\, time =4 \frac{1}{4} hours$

STEP 7

Now that we have the total journey time, we can find out how long the driver was actually driving. We do this by subtracting the break time from the total journey time.
$Driving\, time = Total\, journey\, time - Break\, time$

STEP 8

Plug in the values for the total journey time and the break time to calculate the driving time.
$Driving\, time =4 \frac{1}{4} hours -1 \frac{1}{2} hours$

STEP 9

Calculate the driving time.
$Driving\, time =2 \frac{3}{4} hours$ The driver was driving for $2 \frac{3}{4}$ hours.

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