if vije can build 22 tables in 14 days, and perera can build 22 tables in 16 days, approximately how long will it take them to build 22 tables together?
Answers
Step-by-step explanation:
Vije is building 14x=22 or 22/14 tables everyday
perera is building 16x=22 or 22/16 tables everyday
Now we add these two amounts together to find out how many tables they are both producing everyday.
22/14+22/16=352/224+308/224=88/56+77/56=165/56
So they are producing 165/56 tables per day. We want to know when they get to 22 tables or 1232/56 tables. We now divide our daily production rate to our target to find out how many days it will take to reach our target.
1232/56 / 165/56 = 1232/56 X 56/165 = 1232/165=7.46667
Therefore, together they will produce 22 tables in just 7.46667 days which is about 7 1/2 days.
To see that this makes sense, we know that together they average 22 tables in 15 days, and to two combined would be half that or 7.5 days so this makes sense.