Question

1. The pump used to fill the water tank on a fire truck takes 40 minutes to fill the tank. If the pump sending water to the hose is on, it takes 60 minutes to fill the tank. If the pump filling the water tank is off, how long does the pump sending water to the hose take to empty the tank?

A. 120 minutes
B. 60 minutes
C. 30 minutes
D. 24 minutes

2. Annmarie can plow a field in 240 minutes. Gladys can plow a field 80 minutes faster. If they work together, how many minutes does it take them to plow the field?
A. 96 minutes
B. 160 minutes
C. 400 minutes
D. 480 minutes

3.Brody can fill a bowl with candy in 3 minutes. While Brody fills the bowl, Hudson takes the candy out of the bowl. With Hudson taking candy out of the bowl, it takes 5 minutes for Brody to fill the bowl.
Which of the following can be used to determine the amount of time it takes for Hudson to empty the bowl if Perry does not add candy?
A. 1 over 3 minus 1 over x equals 1 over 5
B. 1 over 3 minus 1 over 5 equals 1 over x
C. 1 over 5 minus 1 over x equals 1 over 3
D. 1 over 3 minus 1 over x equals x over 5

4. Leanne can clean a fish tank in 30 minutes. Karl can clean a fish tank in 20 minutes. If they work together, how many minutes does it take them to clean a fish tank?
A. 6 minutes
B.10 minutes
C. 12 minutes
D. 50 minutes

5.Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours.

Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together?

A. 1 over 4 plus 1 over x equals 1 over 3
B. 1 over 4 plus 1 over 3 equals 1 over x
C. 1 over x plus 1 over 3 equals 1 over 4
D. 1 over 3 plus 1 over 4 equals x over 7

Answer 1

1) option: A (120 minutes)

2) option: A(96 minutes)

3) option: A

4) option: C

5) option: B

Explanation:

Ques 1:

Let the total work be '240'

filling pipe empty pipe filling+empty pipe

Time 40 min 60 min x

Efficiency 240/40=6 240/60= -4 6-4=2

The efficiency of empty pipe is negative as it lead to more time in filling.

Hence the time taken by both the pipe will be
`(240)/(2)` =120 minutes.

Hence, option A is correct.

Ques 2:

Let the total work be '960'

Annmarie Gladys Annmarie+Gladys

Time 240 min 160 min x

Efficiency 960/240=4 960/160=6 6+4=10

Hence, the time taken if they work together is:
`(960)/(10)=96 minutes`

Hence, option A is correct.

Ques 3:

Let the total work be '1'

Brody Hudson Brody+Hudson

Time 3 min x min 5 min

Efficiency 1/3 -1/x 1/5

the efficiency of Hudson is negative as he is taking out the candies.

since, efficiency of Brody+efficiency of hudson= efficiency of both

that means
`(1)/(3)-(1)/(x)=(1)/(5)`

Hence, option A is correct.

Ques 4:

Let the total work be '60'.

Leanne Karl Leanne+Karl

Time 30 min 20 min x

Efficiency 2 3 5

Hence, the time taken by both of them is:
`(60)/(5)=12 \text{minutes}`

Hence, option C is correct.

Ques 5:

Let the total work be '1'

Genna Claude Genna+Claude

Time 4 hrs 3 hrs x hrs

Efficiency 1/4 1/3 1/x

Since, efficiency of Genna+Efficiency of Claude=Efficiency of both

that means
`(1)/(4)+(1)/(3)=(1)/(x)`

Hence, option B is correct.

Answer 2

So the possible answer of the following questions are the following and i hope you would be satisfied with my answer and feel free to ask for more if you have question and further clarification:
#1.A. 120 minutes
#2.A. 96 minutes
#3.A. 1 over 3 minus 1 over x equals 1 over 5
#4.C. 12 minutes
#5.B. 1 over 4 plus 1 over 3 equals 1 over x