math

Two stations, A and B, are located six miles apart on a railroad. The rates of cartage of coal are 50 cents per ton per mile from A and 75 cents per ton per mile from B. At a certain consumer's home, located on the railroad between A and B, the cost for cartage is the same whether the coal is delivered from A or from B. Find the distance from this home to A.

a. 3 miles
b. 3 1/2 miles
c. 3 3/5 miles
d. 4 miles
e. 4 1/2 miles

please answer and explain

  1. 👍 0
  2. 👎 0
  3. 👁 211
  1. cost is rate * distance. If the distance from home to A is x, then from home to B is 6-x. So, since the costs are the same,

    50x = 75(6-x)
    50x = 450-75x
    125x = 450
    x = 3.6

    So, (C)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Water stations will be placed every 400 hundred meters of a 5-kilometer race. How many water stations are needed.

  2. Math

    The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 35 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are

  3. 7th grade math help Ms. Sue please

    Hi! Sorry to keep bothering you with questions. Can you help me on 6 and 13 please? I cannot find the answers. Also, can you check my answers to 11 and 19? Thanks! 6. If point A is located at (0, –8) and B is located at

  4. Language Arts

    Which of the following best describes the author’s purpose in “Harriet Tubman”? A. to explain how Tubman taught others to become Underground Railroad conductors B. to explain the path Tubman would take if she conducted the

  1. math

    A lawyer drives from her home, located 6 miles east and 10 miles north of the town courthouse, to her office, located 4 miles west and 14 miles south of the courthouse. Find the distance between the lawyer's home and her office. I

  2. College Algebra

    Jen recently rode her bicycle to visit her friend who lives 12 miles away. On her way there, her average speed was 10 miles per hour faster than on her way home. If Jen spent a total of 1 hour bicycling, find the two rates.

  3. Thinking Mathematically - Geometry

    A rocket ascends vertically after being launched from a location that is midway between two ground-based tracking stations. When the rocket reaches an altitude of 4 kilometers, it is 5 kilometers from each of the tracking

  4. math

    Two trains leave stations 390 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?

  1. math

    One of the world's fastest roller coasters is located in a theme park in Valencia, California. Riders go from 0 to 100 miles per hour in 7 seconds. Find the acceleration of the roller coaster during this time interval in miles per

  2. math

    A marathon runner ran 26.2 miles in 2 h 30 min. Find these rates: a. miles per hour b. miles per minute c. minutes per mile

  3. Math

    Two trains leave stations 216 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 85 miles per hour how long will it take for two trains to meet? Do not

  4. Us History A

    Which were advantages the South had over the North at the start of the Civil War? Select all that apply. The South had a stronger government. The South had a stronger government. The South had more miles of railroad track. The

You can view more similar questions or ask a new question.