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1 a Jeep travelling a distance of 84 km in 3hr What was the sheed of the Car 2 What distance will a eyclist running ad 65 km in 7 hours.

Mathematics

ScanSolve AI Answer

Answer

28 km/hr\text{28 km/hr}

455 km\text{455 km}

Step-by-step solution

8 steps

Here are the solutions to your homework problems.

:
A Jeep travelling a distance of 84 km84 \text{ km} in 3 hr3 \text{ hr}. What was the speed of the car?

  1. Identify the given values.

    We are given the distance D=84 kmD = 84 \text{ km} and the time T=3 hrT = 3 \text{ hr}.

  2. State the formula for speed.

    The relationship between speed (SS), distance (DD), and time (TT) is given by:

    S=DTS = \frac{D}{T}
  3. Substitute the values into the formula.

    S=84 km3 hrS = \frac{84 \text{ km}}{3 \text{ hr}}
  4. Calculate the speed.

    S=28 km/hrS = 28 \text{ km/hr}

    The speed of the car was 28 km/hr\boxed{\text{28 km/hr}}.

    :
    What distance will a cyclist running at 65 km65 \text{ km} in 7 hours7 \text{ hours}?
    Assumption: Based on the context, it is assumed that "65 km" refers to the speed of the cyclist, meaning 65 km/hr65 \text{ km/hr}.

  5. Identify the given values.

    We are given the speed S=65 km/hrS = 65 \text{ km/hr} and the time T=7 hoursT = 7 \text{ hours}.

  6. State the formula for distance.

    The relationship between distance (DD), speed (SS), and time (TT) is given by:

    D=S×TD = S \times T
  7. Substitute the values into the formula.

    D=65 km/hr×7 hoursD = 65 \text{ km/hr} \times 7 \text{ hours}
  8. Calculate the distance.

    D=455 kmD = 455 \text{ km}

    The distance the cyclist will cover is 455 km\boxed{\text{455 km}}.

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