RE: Solve this simple equation (help pls)
December 4, 2017 at 9:25 pm
(This post was last modified: December 4, 2017 at 9:29 pm by Whateverist.)
(December 4, 2017 at 6:43 pm)pocaracas Wrote:(December 4, 2017 at 4:08 pm)Whateverist Wrote: Worker A completes the job at a rate of 1/20 of the job/day. Worker B completes 1/30 of the job each day. So you want to know how many (1/20 + 1/30) it will take to complete one job, assuming the two can work compatibly with no added or lost efficiency. If you let x = the number of days needed to complete the job working together this way, then a better equation for the problem would be:
(1/20 + 1/30)x = 1
Since 1/20 + 1/30 = 50/600 which reduces to 1/12, you'd get 1/12 of the job done per day this way. So your original answer of 12 days was correct. But your original equation wouldn't get you there.
Maybe, but guy B only works for half the time. Guy A must pick up the other guy's slack!
1/20t +1/(30*2)t = 1
(1/20 + 1/60)t = 1
4/60 t = 1
t = 60/4 = 15
My bad. I only read as much as I thought I needed to. Didn't get far. That explains the other equation. Thanks.
(December 4, 2017 at 6:45 pm)mh.brewer Wrote:(December 4, 2017 at 4:08 pm)Whateverist Wrote: Worker A completes the job at a rate of 1/20 of the job/day. Worker B completes 1/30 of the job each day. So you want to know how many (1/20 + 1/30) it will take to complete one job, assuming the two can work compatibly with no added or lost efficiency. If you let x = the number of days needed to complete the job working together this way, then a better equation for the problem would be:
(1/20 + 1/30)x = 1
Since 1/20 + 1/30 = 50/600 which reduces to 1/12, you'd get 1/12 of the job done per day this way. So your original answer of 12 days was correct. But your original equation wouldn't get you there.
OK, help me out here Mark. I get the 1/20 and 1/30 and 50/600. But isn't that if they both worked the same amount? A worked for a full unit of time, B worked for 1/2. Is you answer still correct?
You are right. I didn't bother reading the whole thing. I completely missed the part about the one guy only working half as much.