Two companies working together can clear a parcel of land in 24 hours. Working alone, it would take Company A 10 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone

43 hours 31 minutes

Step-by-step explanation:

Let the time it takes Company B=x

Company B's Work Rate=1/x

It would take Company A 10 hours longer,Time for A=x+10

Company A's Work Rate=1/(x+10)

The two companies working together can clear a parcel of land in 24 hours.

Their joint work rate=1/24

Therefore:

1/x + 1/(x+10) =1/24

Taking L.C.M

(x+10+x)/(x(x+10)) = 1/24

(2x+10)/(x²+10x)) = 1/24

On Cross multiplication

24(2x+10)=x²+10x

48x+240=x²+10x

x²+10x-48x-240=0

x²-38x-240=0

x= -5.52 or 43.52

Since x>0

x= 43.52 hours

= 43 hours 31 minutes

It would take Company B 43 hours 31 minutes to clear the parcel of land.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

a

step-by-step explanation: