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? asked in Science & MathematicsMathematics · 2 weeks ago

HOW DO YOU SOLVE THIS MATH WORD PROBLEM?

Bob and Ken are painting a room. If Bob paints the room alone, he can finish the job in 4 hours. If Ken paints it alone, he can finish the job in 6 hours. How long will it take them to paint it together? The correct answer is 2 hours and 24 minutes.

2 Answers

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  • 2 weeks ago

    let t - time of combined work of Bob and Ken.

    1/4 + 1/6 = 1/t

    5/12 = 1/t

    5t = 12

     t = 2.4  hours. or 2 hours and 24 minutes ..... Answer//

  • ?
    Lv 7
    2 weeks ago

    Bob and Ken are painting a room. 

    If Bob paints the room alone, 

    he can finish the job in 4 hours. 

    If Ken paints it alone, he can finish the job in 6 hours. 

    How long will it take them to paint it together? 

    1/x = 1/4 + 1/6 = 5/12, x = 2.4

    The answer is 2 hours and 24 minutes.

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