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? asked in Science & MathematicsMathematics · 9 years ago

2 algebra word problems I am having trouble with, please help?

1. Janet and experience sales clerk can fill a certain order in 6 hours. tom a new clerk needs 11 hours to do the same job. working together, how long will it take them to fill the order?

2.: a paddle boat can move at the speed of 10 km/h in still water. the boat is paddled 8km downstream in the same time it takes to go 4 km upstream. what is the speed of the river.

thanks for the help ;)

4 Answers

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  • 9 years ago
    Favorite Answer

    1)

    (1 / 6hours) + (1 / 11 hours) = 1 / combined time

    17 / 66 = 1 / combined time

    combined time = 66 / 17 = 3.88235 hours = 3 hours and 53 minutes

    2) x = river speed

    time = distance / speed

    time1 = time2

    distance1 / speed 1 = distance2 / speed2

    8 / (10 + x) = 4 / (10 - x)

    8(10 - x) = 4(10+x)

    80-8x = 40+4x

    40 = 12x

    x = 3.33 km/hr

  • DOVE
    Lv 6
    9 years ago

    1. Janet and experience sales clerk can fill a certain order in 6 hours. tom a new clerk needs 11 hours to do the same job. working together, how long will it take them to fill the order?

    Janet an experience sales clerk can fill a certain order in 6 hours

    Janet's one hr work= 1/6

    tom a new clerk needs 11 hours to do the same job.

    Tom's one hr work= 1/11

    Both's one hr work= 1/6 +1/11= 17/66

    Boyh will fill a certain order in 66/17 hours

    2.: a paddle boat can move at the speed of 10 km/h in still water. the boat is paddled 8km downstream in the same time it takes to go 4 km upstream. what is the speed of the river.

    Let the speed of the river= x kmph

    Upstream speed= 10-x

    Downsream speed= 10+x

    the boat is paddled 8km downstream in the same time it takes to go 4 km upstream.

    Time the boat is paddled 8km downstream =time it takes to go 4 km upstream.

    8/(10+x)=4/(10-x)

    2/(10+x)=1/(10-x)

    2(10-x)= 10+x

    20-2x= 10+x

    3x=10

    x=10/3 kmph

  • David
    Lv 7
    9 years ago

    x[(1 / 6) + (1 / 11)] = 1

    x[(11 + 6) / 66] = 1

    x(17/66) = 1

    x = 66/17 hours

    3 15/17 hours

    x(10 + y) = 8

    x = 8 / (10 + y)

    x(10 - y) = 4

    x = 4 / (10 - y)

    8 / (10 + y) = 4 / (10 - y)

    8(10 - y) = 4(10 + y)

    80 - 8y = 40 + 4y

    40 = 12y

    40/12 = y

    3 1/3 kph = y

  • 9 years ago

    1. 6+11=17/2=8.5 hours

    2. 6km/h

    I think haha

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