Book Maths Puzzle Algebra

If a painter paints a wall in 3 hours and another paints the same wall in 4 hours, how long will it take the painters on the same wall togeher.

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Book Other Question

How do you convert the recurring decimal 0.23333333 to a fraction. Give your answer in it's simplest form. Lucy tosses a ball up to Carry, waiting at a third-story window, with an initial velocity of 30 feet per second. She releases the ball from a height of 6 feet. The equation h=-16t^2+30t+6 represents the height, h, of the ball after t seconds. If the ball must reach a height of 25 feet for Carry to catch it, does the ball reach Carry? Explain.

(Hint: Substitute 25 for h and use the discriminant.)