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2 April, 01:31

2 water taps A B fill a tank in 12 hrs. Tap A takes 10 hrs less than tap B to till tank separately. Find time taken by tap B to till tank

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  1. 2 April, 01:48
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    11 hours

    Step-by-step explanation:

    Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:

    a + b = 12 (A and B fill a tank in 12 hours)

    a = b - 10 (tap A takes 10 hours less than tap B)

    Substitute 'b - 10' for 'a' in the first equation:

    b - 10 + b = 12

    Combine like terms: 2b - 10 = 12

    Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22

    Divide by 2: 2b/2 = 22/2

    Solve for b: b = 11 hours
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