A bus travels at a constant speed from point A to point B, which are 600 km apart. Some time later, a motorcyclist begins the trip from A to B, traveling at 100 km/h. The motorcyclist overtakes the bus at 150 km from A, and continues on to point B. The motorcyclist arrives at B, rests for 1 hour, and begins the return trip to A, crossing paths with the bus. When the bus arrives at B, the motorcyclist is 200 km from B. How far from B did the motorcycle and bus meet the second time?

Answers

Answer 1

Step-by-step explanation:

the motorcyclist starts x hours after the bus.

it takes the motorcyclist 1.5 hours to meet the bus the first time, 6 hours to reach B, rest 1 hour and go another 2 hours before the bus arrives at B.

so, the bus needs

x + 9 hours to reach B.

x + 1.5 hours for 150 km (for the first meeting with the motorcyclist).

the speed of the bus is 600/(x + 9) km/h or 150/(x + 1.5) km/h.

so,

600/(x + 9) = 150/(x + 1.5)

4/(x + 9) = 1/(x + 1.5)

4(x + 1.5)/(x + 9) = 1

4(x + 1.5) = x + 9

4x + 6 = x + 9

3x + 6 = 9

3x = 3

x = 1

the motorcyclist starts 1 hour after the bus.

the speed of the bus is

600/(x + 9) = 600/(1 + 9) = 600/10 = 60 km/h

when the motorcyclist is starting its return trip, he is 7 hours after his start, and the bus is 7+x = 7+1 = 8 hours after its start, that means at

8×60 = 480 km of its total trip of 600 km.

120 km are still left for the bus to go.

from that point on both travel the same time y going with their speeds until they meet the second time.

the motorcyclist travels 100y km building up distance from B, while the bus travels 60y km reducing the 120 km distance from B.

when they meet the second time, the distance from B for the motorcyclist is the same as the remaining distance for the bus.

so,

100y = 120 - 60y

160y = 120

y = 120/160 = 3/4 = 0.75 hours

so, they meet at

100 × 0.75 = 75 km from B.


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Answer:

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Step-by-step explanation:

Which terms have the same thing applied to them? This is what I ask myself while figuring these out.

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I hope this helped!

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B. Just like in the last problem. You would do 10-5 because they both have b. So it would be 5b+3a

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first you find the area of the two figures then you add both of the areas

Ex:

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Answers

Answer: 256 trapezoids

Step-by-step explanation:

The amount of trapezoids is that pattern # squared. For example pattern #3 is 9 trapezoids. Therefore pattern #16 would have 256 trapezoids because 16^2=256.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Answer:

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C. (-9, -2)

Hope this helps!

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Equation:

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I hope this helped! Brainliest highly appreciated! Tell me if this is wrong I would like to know :) All of this written and solved by me. Except for the italic explanation of how to make 17% a decimal. You are free to use this explanation if needed so don't feel hesitant to copy and paste this. Have a wonderful and blessed day! -- Juri Davis

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Answer:

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Step-by-step explanation:

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Answer:

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Answer: Here is the answer to that question and all of your questions:

https://staff.4j.lane.edu/~ruzicka/Cal_Young/math/Illustrative%20Math/Unit%207%20Rational%20Numbers/HW%20Keys/U7%20L17%20L18.pdf

This is not a scam, these are actual answers. I'm not the bot because the bot has a grey dude profil pic. I have a hot anime charcter.

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Answers

Answer:

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hope this help !

(don't forget to make this the best answer)

(I like your profile picture lol)

The answer is B
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Answers

Answer:

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Answers

let me help you step by step

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Step-by-step explanation:

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Answers

Answer:

The maximum amount of eggs (represented by e) the egg carton can hold is 12.

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Answers

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Answer:

basketball

Step-by-step explanation:

bc the dots are more spread out :)

I think it’s basketball. I am so so so so so sorry if it’s wrong
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