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A maths question....Plz answer....Thanks.......?

Q. A boat travels 30 km upstream in the same amount of time it takes to travel 60 km downstream. If the speed of the river is 4 km per hour, find the speed of the boat in still water.

I know this is an easy question but I'm making a mistake somewhere which I'm unable to find out........ Plz answer....Thank u.........

Update:

Plz answer this question along with the solution...

8 Answers

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  • 1 decade ago
    Favorite Answer

    Solve as a proportional problem

    30/(x - 4) = 60/(x + 4)

    The Means = 60(x - 4)

    The Extremes = 30(x + 4)

    The equation

    60(x - 4) = 30(x + 4)

    The distributive property on both sides of the equation''

    60x - 240 = 30x + 120

    Transpose 30x

    60x - 240 - 30x = 30x + 120 - 30x

    Collect like terms

    30x - 240 = 120

    Transpose 240

    30x - 240 + 240 = 120 + 240

    30x = 360

    Divide both sides of the equation by 30

    30x / 30 = 360 / 30

    x = 360/30

    x = 12. . .←km/hr

    - - - - - -

    The speed of the boad in still water is 12 Km/hr

    - - - - - - - -s-

  • Anonymous
    1 decade ago

    I don't know but I'll have a go

    If the boat goes up stream for one hour and covers 30 K it averages 30 kph.

    Down stream for 60 K it averages 60 kph.

    difference of 30 kph

    Thus the difference made by the river will be 15kph.

    If the rivers speed is 4 kph

    that would make the boats speed 11kph.

    Would be my guess

  • 1 decade ago

    Let the speed in still water is "s", then distance travelled=speedXtime, or t=d/s, now t=(30/s-4)

    and t=60/(s+4), or

    30/(s-4)=60/(s+4)

    1/(s-4)=2/(s+4)

    s+4=2s-8

    s(speed in still water)=12 Km/hour

  • Anonymous
    5 years ago

    Dave's original # of pencils=d Bob's original # of pencils=b ~~~~~~~~ d=2b d=34-8 2b=34-8 2b=26 b=13 Before Dave bought 8 more pencils, Dave had twice the amount of pencils Bob had. So twice Bob's amount would be Dave's amount. After Dave buys 8 more pencils, he has 34. So right now Dave has twice the amount of pencils as Bob plus eight. If we subtract 8 pencils from Dave's current total (34), Dave will have twice as many pencils as Bob. When we do this we get 26. So we now know that half of 26 is the amount of pencils Bob has. So the total number of pencils that Bob has is 13.

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  • 1 decade ago

    8 kph?

    seriously i dont know

    just a guess

    idk even what a km is

  • 1 decade ago

    2km per hour?

  • 1 decade ago

    7.5 kmph

  • 1 decade ago

    i dunno

    Source(s): me mind
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