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Peter, John and Ronny working together take 30 minutes to slash a piece of land. peter and Ronny together take 40 minutes while peter and John together take 45 minutes. How long would each one of them take to slash the same piece of land
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asked
Jun 30, 2021
in
Mathematics Form 3
by
anony mous
Peter, John and Ronny working together take 30 minutes to slash a piece of land. peter and Ronny together take 40 minutes while peter and John together take 45 minutes. How long would each one of them take to slash the same piece of land
Two types of sugar P and Q are such that P costs sh. 50 per kg and Q costs sh.60 per kg. In what proportion must P and Q be mixed so that by selling the mixture at shs 64.80 a profit 20% is realized.
compound proportions and rates of work
ratios and rates of work
mixtures
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answered
Jun 30, 2021
by
anony mous
P+J+R =
^{1}
/
_{30}
P+R =
^{1}
/
_{40}
P+J =
^{1}
/
_{45}
^{1}
/
_{45}
+ R =
^{1}
/
_{30}
R =
^{1}
/
_{30 }
−
^{1}
/
_{45}
R=
^{1}
/
_{90}
Rony = 90mins
J=
^{ 1}
/
_{30}
−
^{1}
/
_{40}
=
^{1}
/
_{120}
John=120mins
P=
^{1}
/
_{40}
−
^{1}
/
_{90}
=
^{1}
/
_{72}
peter=72mins
let be n:1
(
50n +60
)
120
=64.80
( n + 1 ) 100
(50n + 60)1.2 =64.8n + 64.8
60n + 72 =64.8n +64.8
4.8n = 7.2
n=
^{3}
/
_{2}
^{3}
/
_{2}
: 1
=3:2
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