Car A went 60 km in 5 6 hour while a car B went 54 km in 2 3 hour. Which car was faster? How many times faster?

Question

Car A went 60 km in 5 6 hour while a car B went 54 km in 2 3 hour. Which car was faster? How many times faster?

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Isabella 2 weeks 2021-09-27T15:55:08+00:00 1 Answer 0

Answers ( )

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    2021-09-27T15:57:07+00:00

    Answer:

    Car B was faster . Speed of Car B was 9/8 times  Speed of Car A

    Step-by-step explanation:

    Distance traveled by Car A = 60 km

    Time taken by Car A = \frac{5}{6} hour

    Speed =\frac{Distance}{Time}

    Speed = \frac{60}{\frac{5}{6}}

    Speed of car A=60 \times \frac{6}{5}= 72 km /hr

    Distance traveled by Car B = 54 km

    Time taken by Car B = \frac{2}{3} hour

    Speed of car B= \frac{Distance}{Time}

    Speed = \frac{54}{\frac{2}{3}}

    Speed of car A=54 \times \frac{3}{2}= 81 km /hr

    \frac{\text{Speed of car B}}{\text{Speed of car A}}=\frac{81}{72}\\\text{Speed of car B}=\frac{81}{72} \times \text{Speed of car A}\\\text{Speed of car B}=\frac{9}{8} \times \text{Speed of car A}

    So, Car B was faster . Car B was 9/8 times faster than Car A

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