book Maths Puzzle Numerical Ability

when do you cross multiply fractions and when do you just multiply the numerators and denominators

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book Other Question

One garden hose can fill an above-ground pool in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take? From the formula: Circle's Chord Length (L) = 2[h(2r-h)]^0.5 where r= radius of circle and h= chord's height. I have tried to rearrange the equation to solve for h with no success