A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions – the deer at a speed of 7 feet per second and

Question

A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions – the deer at a speed of 7 feet per second and the bear at a speed of 3 feet per second. How long will it be until the animals are 185 yards apart? Help please!

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Quinn 1 week 2021-09-14T21:10:17+00:00 1 Answer 0

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    2021-09-14T21:12:02+00:00

    Answer:

    55.5 second

    Step-by-step explanation:

    It is a problem of relative speed.

    Relative speed is speed of object with respect to each other.

    In relative speed

    –>If two objects are moving in opposite direction with speed A and B then

    there relative speed with respect to each other will be (A+B)

    –>If two objects are moving in same direction with speed A and B then

    there relative speed with respect to each other will be (A-B) (given speed A is quantitatively greater than speed B).

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    Given

    Speed of deer = 7 feet per second

    Speed of beer = 3 feet per second

    direction of the animals with respect to each other is  opposite.

    Therefore their relative  speed will be ( 7 + 3 ) = 10 feet per second

    This can be understood intuitively as well

    if deer and beer are covering 7 feet and 3 feet in one second in opposite direction then the distance will increase between them.

    distance increased between them in one second will be sum of  7 feet and 3 feet  which is equal to 10 feet.

    Thus, distance covered per second is nothing but speed. Here, this speed is relative to each other thus 10 feet per second is the relative of each animal

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    Now in problem of speed , distance and time

    Time = distance / speed

    Distance = 185 yards

    one yard is equal to 3 feet

    so  185 yards is equal to 3*185 feet

    185 yards in feet is 555 feet

    Distance in feet  = 555 feet

    Therefore

    Time = 555/10 = 55.5 second

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    It will take 55.5 second until animals are 185 yards apart

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45:7+7-4:2-5:5*4+35:2 =? ( )