Chapter 8 linear appliCaTionS 277The equation to solve is 401 + 201 = ^1 t. The LCD is 40t.
1
401
20140 1
401
2040 140 1
40+=+
=
t
tt
t
t
+
=+=
=
==40 1
2040240
340
40
3(^1313)
t
tt
t
t
Together Robert and Paul can assemble the bookcase in 1331 minutes or
13 minutes 20 seconds.
- Worker Quantity Rate Time
Pipe I 1 67
1
76 =^677/6Pipe II 1 1/t t
Together 1 43
1
34 43// =3/4The equation to solve is^6
7
+ ^1 = ^4
3
t. The LCD is 21t.
6
7
14
3
21 6
71 21 4
3
21 6
72+=
+
=
+t
t
ttt 11 1 2818 21 28
18 18
21 10
21
10t
tttt
tt
t
t
=+=
−−
==Alone, Pipe II can fill the reservoir in^2101 hours or 2 hours 6 minutes.^
( 101 of an hour is 101 of 60 minutes and 101 ⋅ 60 = 6 .)