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A car travels 225 km in 4.5 hours. How long will it take to travel 150 km at the same speed?

Physics

ScanSolve AI Answer

Step-by-step solution

2 steps

To solve this problem, we first need to calculate the constant speed of the car using the given information, and then use that speed to find the time it takes to cover the new distance.

  1. Calculate the speed of the car.

    The formula for speed is:

    Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}

    Given:
    Distance (D1D_1) = 225 km
    Time (T1T_1) = 4.5 hrs

    Substitute these values into the formula:

    S=225 km4.5 hrsS = \frac{225 \text{ km}}{4.5 \text{ hrs}} S=50 km/hrS = 50 \text{ km/hr}
  2. Calculate the time to run 150 km.

    Now that we have the constant speed, we can find the time (T2T_2) it takes to run a new distance (D2D_2) of 150 km.
    The formula for time is:

    Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}

    Given:
    Distance (D2D_2) = 150 km
    Speed (SS) = 50 km/hr (calculated in Step 1)

    Substitute these values into the formula:

    T2=150 km50 km/hrT_2 = \frac{150 \text{ km}}{50 \text{ km/hr}} T2=3 hrsT_2 = 3 \text{ hrs}

    The time it will take to run 150 km is 3 hours.

    Comparing this with the given options:
    A. 2 hrs
    B. 1 hr
    C. 3 hrs
    D. 4 hrs

    The calculated time matches option C.

    The final answer is C. 3 hrs\boxed{\text{C. 3 hrs}}.

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