Question

In the first 2 hours after Meadow's self-service laundry opens, m large washing machines and n small washing machines are in continual use. Including the time for filling and emptying the washing machines, each load of laundry takes 30 minutes in a large washing machine and 20 minutes in a small washing machine. What is the total number of loads of laundry done at Meadow's self-service laundry during this 2-hour period?

Answer 1

Answer: Total laundry done in 2hours=110

Explanation:

Let m be large washing machines

Let n be small washing machines

Load of laundry for large machine=30mins

Load of laundry in small machine=20 mins

2 hours laundry =2×60=120mins

For m in 2hrs=120/30=4

For n in 2hrs=120/20=6

m loads in 2hrs=4m

n loads in 2hrs=6n

1st statement:n=3m

Substituting

4m+6(3)=x

4m+18m=x

X=22m

Value of m cannot be determined because statement 1 is insufficient

From the 2nd statement: 2m+3n=55

Multiply both sides by2

4m+6n=110

Answer 2

Nt=10 (m=4,n=6)

Explanation:

we have that m = amount of time used by the large washing machine to wash a load of clothes and n = amount of time used by the small washing machine to wash a load of clothes, so

`m=(Tt)/(Tpm)=(2h)/((1h)/(2))=4\\n=(Tt)/(Tpn)=(2h)/((1h)/(3))=6`

Nt=m+n=10

where Tt = time frame, Tpm= m' time frame, Tpn = n' time frame and Nt = total number of charges