Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is decreasing hi

Question

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?

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Thành Công 5 months 2021-09-03T09:06:53+00:00 1 Answers 0 views 0

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    2021-09-03T09:08:52+00:00

    Answer: After 16 seconds the boats will be traveling the same speed.

    Step-by-step explanation:

    Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

    Mike’s spewed after x seconds = 12 + 0.2x

    Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

    Hank’s speed after x seconds = 26.4 -0.7 x

    As per given,

    12 + 0.2x =  26.4 -0.7 x

    Subtract 12 from both sides

    0.2x= 26.4-12-0.7x

    ⇒ 0.2x= 14.4-0.7x

    Add 0.7xn on both sides , we get

    0.2x+0.7x= 14.4

    ⇒ 0.9x = 14.4

    Multiply 10 on both sides, we get

    9x=144

    Divide both sides by 9 , we get x= 16

    Hence, after 16 seconds the boats will be traveling the same speed.

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