YGS Mat İşçi&Havuz Problemleri
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MATEMATİK 23.Bölüm
İŞÇİ HAVUZ PROBLEMLERİ
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İşçi Problemleri
Bir işi, 1.işçi x sürede
2.işçi y sürede yapabiliyorsa;
Aynı işi ikisi birlikte 1
x+
1
y=
1
t denkleminde t sürede
yapabilir.
Örnek:
Bir işi Ali 3 günde, Hasan 6 günde yapabiliyorsa ikisi birlikte;
1
3+
1
6=
1
𝑡
3
6=
1
𝑡 t=2
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Bir işte, işçilerin farkı sürelerde çalıştığı (biri işi
yarıda bırakıp diğeri devralıyorsa vb.) sorularda
şöyle bir yöntem izlenebilir:
İşçilerin her birinin çalışma süreleri işi bitirebilme
sürelerine bölünür ve elde edilen kesirler toplanır. Bu
değer, işin biten kısmının oranına eşittir. İş bitmişse
ya da bitecekse 1’e eşitlenir.
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Bir işi Ahmet 12 günde, Burak ise 36 günde yapabilmek-
tedir. Ahmet çalışma hızını 1/3 oranında azalıtır, Burak ise
2 katına çıkarırsa ikisi birlikte bu işi kaç günde bitirir ?
A) 18 B) 16 C) 12 D) 9 E) 6
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Havuz Problemleri
A musluğu x sürede dolduruyor,
B musluğu y sürede dolduruyor
C musluğu z sürede boşaltıyor ise
Denkleminde t sürede havuz dolar.
t
1
z
1
y
1
x
1
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3 musluk aynı anda açılırsa boş havuz kaç saatte dolar ?
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