2 cars c and d started to move to each other car c was 118 miles from Boston car d was 256 miles from Boston car c was going twice as fast a

Question

2 cars c and d started to move to each other car c was 118 miles from Boston car d was 256 miles from Boston car c was going twice as fast as car d how. Far from Boston will these 2 cars meet

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Acacia 1 year 2021-07-29T16:07:16+00:00 1 Answers 69 views 0

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    2021-07-29T16:08:57+00:00

    Answer:

    131.3 miles

    Step-by-step explanation:

    The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.

    Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:

    d₁ + d₂ = 374 miles       (1)

    Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence

    For car c:

    2x = d₁/t

    t = d₁ / 2x

    For car d;

    x = d₂/t

    t = d₂/ x

    Since it takes both cars the same time to meet at the same point, therefore:

    d₁/2x = d₂ / x

    d₁ = 2d₂

    d₁ – 2d₂ = 0         (2)

    Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles

    Therefore the distance from point of meet to Boston = 249.3 – 118 = 131.3 miles

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