QuestionCalculate the time to drive 188 miles at 80 mph, starting at 9 pm.

Studdy Solution

STEP 1

Assumptions1. The total distance to be covered is188 miles. The speed of the car is constant at80 mph3. The time starts from9 pm when she merges onto the highway

STEP 2

We can use the formula for time, which is the ratio of distance to speed, to find out how long it takes to cover the distance.
$Time = \frac{Distance}{Speed}$

STEP 3

Now, plug in the given values for the distance and speed to calculate the time.
$Time = \frac{188\, miles}{80\, mph}$

STEP 4

Calculate the time it takes to cover the distance.
$Time = \frac{188\, miles}{80\, mph} =2.35\, hours$

STEP 5

The time calculated is in decimal hours. To convert this to minutes, we multiply the decimal part by60.
$Minutes =0.35 \times60$

STEP 6

Calculate the minutes.
$Minutes =0.35 \times60 =21\, minutes$

STEP 7

So, the total time taken to drive188 miles at a speed of80 mph is2 hours and21 minutes.

STEP 8

The person started driving at pm. To find the time when she will reach the destination, we add the driving time to the start time.
$End\, Time = Start\, Time + Driving\, Time$

STEP 9

Plug in the values for the start time and the driving time to calculate the end time.
$End\, Time =9\, pm +2\, hours\,21\, minutes$

STEP 10

Calculate the end time.
The person will reach the destination at21 pm.

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