Two carpenters can make a cupboard in 5 days. How long will 6 carpenters take to make the cupboard.
Answers
Step-by-step explanation:
Even though in reality it would be different (1,000 carpenters will not build a wooden cabinet 1,000 times faster than one single carpenter), if we assume that it does work like that, we can solve the problem like so.
Let t=time in days per carpenter to build the cabinet, c=number of carpenters and d=number of days required to build the cabinet
Our starting equation is
t divided by c=d
If we sub in c=6 (as there are six carpenters) and d=18 (as it takes 18 days), we get
t divided by 6=18
t=18x6
t=108
To find out the number of carpenters we will need we can sub in our known value for t and our needed value for d to get the equation
t divided by c=d
108 divided by c=6
108=6c
c=108 divided by six
c=18
Therefore you will need 18 carpenters (assuming the ratio between the number of carpenters and days required to make a cabinet scales linearly) to finish a wooden cabinet in 6 days.
I hope I helped! If there’s anything that you find confusing and want cleared up, just leave a reply and I’ll explain it the best I can. :)
2 carpenters can make a cupboard in 5 days
1 carpenters can make a cupboard in 5/2 days
6 carpenters can make a cupboard in 5/2 × 6 days = 15 days