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Math Help - Just cant seem to make it pass these math questions

  1. #1
    jamascott
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    Just cant seem to make it pass these math questions

    1. A basement hols 18in of water. Water is being pumped ot at 1 1/2 inches every 50 minutes. How many hours will it take to pump out all of the water?

    2. 3 kids, on a road trip, start complaining @ 12:00, The oldest complains every 2 minutes, the middle child every 3 minutes, and the youngest child every 5 minutes. At what time do they all complain at the same time?

    3. A tent is being put up. The pole is 8ft above ground and will be staked down with ploes and rope that are 6 inches apart. There will be an additional 12 in of rope for knots. How many feet of rope is required?


    4. There are 2 men and 2 women. How many committes can be formed that contains 1 man and 1 woman on each committe?

    5. 4 products, A, B, C, and D, are being used in a marketing campaign. How many product campaigns can be formed where all products are used on each campaign.

    6. John drove 77 miles in 8 hours, Jim drove the same distance in 11 1/2 hours taking 2- 15min breaks in between. What rate did Jim drive?
    Attached Thumbnails Attached Thumbnails Just cant seem to make it pass these math questions-math.jpg  
    Last edited by jamascott; November 18th 2006 at 09:15 PM. Reason: adding pitcure to question 3
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  2. #2
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    number 4)
    if you are trying to create only 1 committee at at time then the answer is 4. This is because for each man there is a choice of 2 women to accompany him on the committee.
    however, if you are trying to make 2 committees at the same time then the answer is 2. this is because each man has 2 choices of women, but this leaves the other man and women on the other committee.

    I answered like this since from my point of view it was unclear weather u were trying to make 1 or 2 committees.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by jamascott View Post
    1. A basement hols 18in of water. Water is being pumped ot at 1 1/2 inches every 50 minutes. How many hours will it take to pump out all of the water?
    18 inches of water is 12 lots of 1.5 inches of water, therefore it takes
    12 times as long to pump out 18 inches as it does for 1.5 inches, so that
    is a total of 50 times 12 minutes = 600 min, which you need to convert to
    hours.

    RonL
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by jamascott View Post
    2. 3 kids, on a road trip, start complaining @ 12:00, The oldest complains every 2 minutes, the middle child every 3 minutes, and the youngest child every 5 minutes. At what time do they all complain at the same time?
    You are looking for a number of minutes after 12:00 which is divisible by 2, 3
    and 5, since the oldest complains at every integer number of minutes which
    is divisible by 2, the middle child at every integer number of minutes which
    is divisible by 3, and the youngest at every integer number of minutes which
    is divisible by 5.

    That is you the number of minutes after 12:00 is the least common multiple
    of 2, 3 and 4.

    RonL
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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by jamascott View Post
    6. John drove 77 miles in 8 hours, Jim drove the same distance in 11 1/2 hours taking 2- 15min breaks in between. What rate did Jim drive?
    Jim drove for 11.5 hours less the total break time of 1/2 hour, so the total
    time he was driving was 11 hours. The distance was 77 miles so while driving
    his average speed (what his speedo would have indicated) would have been
    77/11 mph= 7 mph.

    (what the drivers of the vehicles in the queue behind him said is not recorded).

    RonL
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  6. #6
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    Hello, jamascott!

    1. A basement holds 18 inches of water.
    Water is being pumped out at 1 1/2 inches every 50 minutes.
    How many hours will it take to pump out all of the water?

    The pump moves 1.5 inches of water every \frac{5}{6} of an hour.

    That is, it moves: . 1.5 \div \frac{5}{6} \:=\:1.5  \times \frac{6}{5} \:=\:1.8 inches per hour.

    To move 18 inches of water, it will take: .  18 \div 1.8 \:=\:10 hours.



    2. Three kids, on a road trip, start complaining @ 12:00.
    The oldest complains every 2 minutes, the middle child every 3 minutes,
    and the youngest child every 5 minutes.
    At what time do they all complain at the same time?

    The three kids will complain simultaneously at the LCM of 2, 3, and 5.

    The least common multiple fo 2, 3, and 5 is 30.

    Hence, they will complain together every half-hour: 12:30, 1:00, 1:30, . . .



    6. John drove 77 miles in 8 hours.
    Jim drove the same distance in 11 1/2 hours taking two 15-minute breaks.
    What rate did Jim drive?

    They tried to confuse us. .(Did it work?)

    Trimming off all the bull, it says: Jim drove 77 miles in 11 hours.

    Got it?

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