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QuestionA C car travels at 80 km/hr80 \mathrm{~km/hr} for 2hr15 min2 \mathrm{hr} 15 \mathrm{~min}. How many km\mathrm{km} does it cover?

Studdy Solution

STEP 1

Assumptions1. The speed of the car is constant at80 km/hr. . The car travels for a time of hours and15 minutes.

STEP 2

First, we need to convert the time of travel into hours, as the speed of the car is given in km/hr.Time=2 hr+15 minTime =2 \mathrm{~hr} +15 \mathrm{~min}

STEP 3

Now, convert the minutes into hours. There are60 minutes in an hour, so we divide the number of minutes by60.
15 min=1560 hr15 \mathrm{~min} = \frac{15}{60} \mathrm{~hr}

STEP 4

Calculate the equivalent time in hours.
15 min=1560 hr=0.25 hr15 \mathrm{~min} = \frac{15}{60} \mathrm{~hr} =0.25 \mathrm{~hr}

STEP 5

Now add the time in hours to the original2 hours.
Total time=2 hr+0.25 hrTotal\, time =2 \mathrm{~hr} +0.25 \mathrm{~hr}

STEP 6

Calculate the total time in hours.
Total time=2 hr+0.25 hr=2.25 hrTotal\, time =2 \mathrm{~hr} +0.25 \mathrm{~hr} =2.25 \mathrm{~hr}

STEP 7

Now that we have the total time in hours, we can find the distance covered by the car by multiplying the speed of the car by the total time.
Distance=Speed×TimeDistance = Speed \times Time

STEP 8

Plug in the values for the speed and the total time to calculate the distance.
Distance=80 km/hr×2.25 hrDistance =80 \mathrm{~km/hr} \times2.25 \mathrm{~hr}

STEP 9

Calculate the distance covered by the car.
Distance=80 km/hr×2.25 hr=180 kmDistance =80 \mathrm{~km/hr} \times2.25 \mathrm{~hr} =180 \mathrm{~km}The car will cover180 km.

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