SOLUTION: A brick layer and his helper in a certain day laid 1,500 bricks. If they had laid 25 bricks more per hour and had worked two hours less time, they would have laid 1,400 bricks. Hou
Question 1116186: A brick layer and his helper in a certain day laid 1,500 bricks. If they had laid 25 bricks more per hour and had worked two hours less time, they would have laid 1,400 bricks. Hour many bricks did they lay per hour? Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39613) (Show Source):
The direct translation the condition to Math is this "time" equation
- = 2 hours,
where x = "Hour many bricks did they lay per hour" is the value under the question.
1500*(x+25) - 1400*x = 2x*(x+25)
1500x + 37500 - 1400x = 2x^2 + 50x
2x^2 - 50x - 37500 = 0,
x^2 - 25x - 18750 = 0
= = .
The only positive root x = 150 works.
Answer. 150 bricks per hour.
Check. - = 10 - 8 = 2. ! Correct !
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