1. ## Work rate problem

Mary wraps 5 parcels in 2 minutes while Kerry unwraps a parcel every ten minutes. If both work together how long will it take them to have 120 wrapped parcels ready?
A) 5 mins
B) 10 mins
C) 20 mins
D) 35 mins
E) 50 mins

2. ## Re: Work rate problem

Originally Posted by usre123
Mary wraps 5 parcels in 2 minutes while Kerry unwraps a parcel every ten minutes. If both work together how long will it take them to have 120 wrapped parcels ready?
A) 5 mins
B) 10 mins
C) 20 mins
D) 35 mins
E) 50 mins
Hello,

let x denote the number of minutes it takes to get the 120 Parcels.

You know that Mary wraps $\displaystyle \frac52 \frac{parcels}{min}$

and Kerry unwraps $\displaystyle \frac1{10} \frac{parcels}{min}$

That means the number of parcels is determined by:

$\displaystyle \frac52 \frac{parcels}{min} \cdot x \ min - \frac1{10} \frac{parcels}{min} \cdot x \ min = 120 \ parcels$

Solve for x.

3. ## Re: Work rate problem

Hey, its ok, I got it. Thanks a lot. It was really easy. Mary does 5/2= 2.5 boxes/minute. Kerry unwraps 1/10= 0.1 per minute. So Mary - Kerry (since they're doing opposite things) is equal to 2.4. Now 2.4 * 120= 50 minutes.

4. ## Re: Work rate problem

Originally Posted by usre123
Hey, its ok, I got it. Thanks a lot. It was really easy. Mary does 5/2= 2.5 boxes/minute. Kerry unwraps 1/10= 0.1 per minute. So Mary - Kerry (since they're doing opposite things) is equal to 2.4. Now 2.4 * 120= 50 minutes.
Hello,

you obviously calculated correctly but wrote it the wrong way:

$\displaystyle x = \frac{120\ parcels}{2.4\ \frac{parcels}{min}}$