notes and problems on time & work
TRANSCRIPT
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7/27/2019 Notes and problems on Time & Work
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KQuabity Kgudatioj Tystkf
Wifk & \or`
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
\or` to ck gojk is lkjkrabby dojsigkrkg as ojk
ujit. It fay ck dojstrudtijl or paijtijl a nousk,hibbijl up or kfptyijl a taj`, rkskrvoir or a distkrj.
\or`
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Ih A daj go a pikdk oh wor` ij j gays, tnkj A's 1 gay'swor` 61/j
IhA's 1 gay's wor` 61/j, tnkj A daj hijisn tnk wor` ij
j gays.
\or` ajg fkj ark girkdtby proportiojab to kadn
otnkr i.k, ih tnk wor` ijdrkasks, tnk jo. oh fkjrkquirkg to go it, abso ijdrkasks, ih tnk wor` is to ck
dofpbktkg ij tnk safk jufckr oh gays.
Ifportajt Jotks
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Fkj ajg gays ark ijvkrskby proportiojab, ik, ih tnkjufckr oh fkj ijdrkasks, tnk jufckr oh gays
rkquirkg to dofpbktk tnk safk wor` gkdrkasks
ajg vidk vkrsa.
\or` ajg gays ark girkdtby proportiojab, ik, ih tnk
wor` ijdrkasks, tnk jufckr oh gays rkquirkg abso
ijdrkasks, ih tnk wor` is to ck dofpbktkg witn tnk
safk jufckr oh fkj ajg vidk vkrsa.
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Ih A abojk dofpbktks sofk wor` ij x gays ajg C
abojk dofpbktks safk wor` ij y gays 0 tnkj A & C
daj hijisn tolktnkr wor` ij t gays
Kquatioj (1)
Ih A is x tifks as loog a wor`faj as C, tnkj=Satio
oh wor` gojk cy A ajg C 6 x = 1.
Satio oh tifks ta`kj cy A ajg C to hijisn a wor` 6
1 = x ..Kquatioj (3)
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
1. Ih a pipk daj hibb a taj` ij x nour, tnkj tnk part hibbkg
ij 1 n 6 1 /x
3. Ih a pipk daj kfpty a taj` ij c nour, tnkj tnk partoh tnk hubb taj` kfptikg ij 1 n 6 1 / y
4. Ih a pipk daj hibb a taj` ij x nour ajg ajotnkr pipk
daj kfpty tnk hubb taj` ij y nour, tnkj tnk jkt parthibbkg ij 1 n, wnkj cotn tnk pipks ark opkjkg 6
(1/x) (1/y)..............Kquatioj (4)
Uipk ajg Distkrj
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Q1 = Twafi ajg Sama daj go a moc abojk ij 15 gays
ajg 75 gays rkspkdtivkby. Ij now fajy gays tnk moc
wibb ck hijisnkg, ih tnky wor` tolktnkr ?
Tobutioj=
Gays ta`kj cy swafi (x) 6 15 0 Gays ta`kj cy Sama (y) 675
Gays ta`kj ih tnky wor` tolktnkr 6t (1/15 )+ (1/75) 6
(1/t)....................ahtkr appbyijl Kquatioj (1)
t6 >
To tifk ta`kj to dofpbktk tnk wor` hor Twafi & Sama tolktnkr
is > gays.
Kxafpbks
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Q3= Saf ajg Taf daj go a pikdk oh wor` ij 15 gays
ajg 1; gays rkspkdtivkby. Wnky wor` tolktnkr hor 4
gays ajg tnkj Taf bkavks. Saf hijisnks tnkrkfaijijl wor` abojk. Ij now fajy gays ij tnk totab
wor` hijisnkg?
Tobutioj =
Saf's 1 gay wor` = 1/15
Taf's 1 gay wor` = 1/1;
(Saf + Taf)'s 1 gay wor` = (1/15)+(1/1;)61/8(Saf + Taf)'s 4 gay wor` = 4/8
Skfaijijl wor` 6 1- (1/3) 6 1/3
To gays ta`kj cy Saf to dofpbktk 1/3 wor` 6 15/3 6 ; gays
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Q4=A is tnridk as loog as wor`faj as C ajg tnkrkhork
is acbk to hijisn a moc ij 85 gays bkss tnaj C. \or`ijl
tolktnkr, tnky daj go it ij now fajy gays ?
Tobutioj =Satio oh tifks ta`kj cy A ajg C 6 1 = 4.
Gihhkrkjdk oh tifk cktwkkj tnkf is 85 gaysTo tifk ta`kj cy C 6 4/3 75 6 85 gays
To tifk ta`kj cy A 6 35 gays
ih A & C wor` tolktnkr tnkj tifk ta`kj 6 (35
85)/(35+85).............appby kquatioj (1)
Wifk ta`kj to dofpbktk wor` ih tnky wor` tolktnkr is 61; gays
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf
Q7= Uipk A daj hibb a taj` ij 15 fij, pipk C ij 35 fij
ajg a bka` daj kfpty tnk taj` ij 75 fij. Ih abb oh
tnkf wor` tolktnkr, hijg tnk tifk ta`kj to hibb tnk
kfpty taj`?
Tobutioj= Livkj
(1/x)6(1/15 + 1/35)
(1/y) 6 1/75
Jkt part hibbkg ij 1 fij 6 (1/15 + 1/35 1/75) 6 >....appby
Kquatioj (4)
To, tnk kfpty taj` wibb ck hibbkg ij > fij.
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KQuabity Kgudatioj Tystkf
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KQuabity Kgudatioj Tystkf
KQuabity Kgudatioj Tystkf