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4 years ago

14

On Saturday, mason biked 1.5 hours at a speed of 11.9 miles per hour. on Sunday, he biked 3.2 hours at a speed of 14.8 miles per

hour. how much farther did he bike on Sunday?

1 answer:

solniwko [45]4 years ago

3 0

1.7 miles: subtract 1.5 from 3.2 which equals 1.7 (make sure to line up the decimals!)

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Answer:

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Step-by-step explanation:

If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:

BP/7 = (BP+7x)/10

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10BP = 7BP+49x

3BP = 49x

BP = (49/3)x

BP/7 = (BP+3x)/EF

EF = (BP+3x)*7/BP

EF = ((49/3)x + 3x)*7/((49/3)x)

EF = ((58/3)x*7*3)/(49x)

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