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2 November, 04:31

A car traveling at a rate of 30 ft/sec is approaching an intersection. When the car is 120 ft from the intersection, a truck traveling at a rate of 40 ft/sec crosses the intersection. If the roads are at right angles to each other, how fast are the car and the truck separating 2 seconds after the truck crosses the intersection?

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  1. 2 November, 06:07
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    how fast are the car and the truck separating 2 seconds after the truck crosses the intersection: = 140ft

    Explanation:

    A car traveling at a rate of 30 ft/sec is approaching an intersection.

    When the car is 120 ft from the intersection,

    a truck traveling at a rate of 40 ft/sec crosses the intersection.

    If the roads are at right angles to each other,

    how fast are the car and the truck separating 2 seconds after the truck

    for the car,

    speed = distance/time

    30 = 120/time

    when the car is at 120ft to the intersection, he will used t = 4sec to the intersection

    for every 1sec, the car move 30ft

    for the truck

    speed = distance/time

    40 = d/2sec

    the distance of the truck at 2sec = 80ft

    how fast are the car and the truck separating 2 seconds after the truck crosses the intersection: = 140ft

    the car will be 60ft to the intersection and the truck will be 80ft after the intersection

    therefore, the distance between the car and truck = 60+80 = 140ft
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