Need help with this word problem

Charlikatherine

New member
Joined
Jul 28, 2020
Messages
1
Doug and Dan can fill 60 orders in 3 hours. How long will it take to fill 85 orders?
 

Otis

Elite Member
Joined
Apr 22, 2015
Messages
2,537
Hello Charlikatherine. How did you begin? We have this relationship:

Hourly Rate × Hours = Orders Filled

I would begin by calculating how many orders Doug and Dan fill per hour. That's their hourly rate. (Let us know, if you need help calculating that rate.)

I could then define a variable, to represent the unknown hours:

Let t = the hours that Doug and Dan worked

Using the hourly rate, the variable t, and the number of orders filled, I could then write an equation to solve for t.

(hourly rate) (t) = 85

Please show any work that you can, if you would like more help. Or, ask specific questions, if you get stuck. Thanks.

😎
 

Dr.Peterson

Elite Member
Joined
Nov 12, 2017
Messages
8,304
Doug and Dan can fill 60 orders in 3 hours. How long will it take to fill 85 orders?
There are several ways you might solve problems like this. Another is to write and solve a proportion, 60:3 = 85:x or another like it.

If you tell us what methods you have learned, we can help you apply them.
 

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
7,536
Figure out what to multiply 60 by to get 85. Then multiply 3 by that number.
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
21,538
Doug and Dan can fill 60 orders in 3 hours. How long will it take to fill 85 orders?
Doug and Dan can fill 60 orders in 3 hours (= 180 minutes) \(\displaystyle \to\)

Doug and Dan takes 180 minutes fill 60 orders \(\displaystyle \to\)

Doug and Dan takes [?] minutes fill [60/60 =] 1 order \(\displaystyle \to\)

Doug and Dan takes [?] minutes fill [1 * 85 =] 85 orders
 
Top