question

posted by .

bus holds 66 people. Starts out empty. Picks up 1 person at the 1st station. 2nd person at the 2nd station 3rd person at the 3rd station and so on. No one gets off. After how many stations will fill up the bus Show your work- explain your thinking?

  • question -

    Wouldn't the last person get on at the 66th station?

  • question -

    the way you worded the question it simply becomes
    1+1+1+1+... = 66
    clearly 66 ones are needed, so after 66 stations the bus is full

    if you meant 1st station one person gets one, on the 2nd station two people get on, on the third 3 people get on, etc
    then it becomes a sequence/series type of question and you would have

    1+2+3+4+... = 66
    here a=1
    d=1 and n is unknown but S(n) = 66
    S(n) = n/2[2a + d(n-1)]
    66 = n/2[2 + 1(n-1)]
    132 = n[1+n]
    n^2 + n - 132 = 0
    (n+12)(n-11) = 0
    n = -12 or n = 11
    we need the positive integer solution which is 11
    test: S(11) = 11/2[2 + 10] = 66

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. psych

    Given the following problem: Pretend that you are a bus driver. You begin the day with an empty bus. At the first stop, you let on 10 passengers. At your second stop, 4 people get off the bus, and 12 people on. At your third stop, …
  2. algebra help please

    A bus leaves a station at 1p.m. traveling west at an average rate of 44 mi/h.one hour later a second bus leaves the same station traveling east at a rate of 48mi/h. At what time will the two buses be 274 miles apart I know that I am …
  3. English

    In the book Dr. Dolittle is it written in 1st person, 2nd person, or 3rd person omniscent or limited?
  4. Math

    To chart the movement of a polar bear, scientists attached a radio transmitter to its neck. Two tracking stations are monitoring the radio signals from the bear. Station B is 10 miles directly east of station A. On Monday, station …
  5. physics

    A non stop bus goes from one station to another at a speed of 54 km/h. The bus returns from the second station to first station at a speed of 36 km/h. Find the average speed of the bus.
  6. math

    Two friends decide to cycle to a picnic spot the first person cycles 5 and a 1/2 km/hour and 2nd cycles 6 and a3/4 km/hour to make up for being slow the first person starts out two and half hour earlier after how much time and distance …
  7. ALGEBRA 1

    A nonstop bus ride from the bus station in Atlantic City, New Jersey, to the bus station in Albany, New York, took 6 hours. If the average speeed of the bus was 21 meters per second , what is the distance between the two bus stations, …
  8. physics

    A train starts from station A at 1pm and reaches station B at 3 pm, aftet travelling 108 km. It halts at station B for one hour and then starts for station c which is 42 km fron station B. It reaches station c at 7pm on the same day. …
  9. Math

    You’re involved in the design of a new facility. It is important for people to move between work stations quickly. Based on the figure below, how many feet would a person need to walk to get from Work Station 1 to Work Station 3?
  10. science

    A non stop bus goes from one station to another station with a speed of 54 km per hour. The same bus returns from the second station to the first station with a speed of 36 km per hour . Find the average speed of the bus for the entire …

More Similar Questions