A supply room has enough couplings to last a crew of 30 electricians for 120 days and enough connectors for 75 days. How many days would this supply of couplings last a crew of 90 electricians?

(30/90) * 120 = 40 Days.

Thanks

You are welcome.

Well, considering that the supply of couplings was meant to last a crew of 30 electricians for 120 days, we can calculate the daily usage rate of a single electrician.

So, each electrician would use up 1/30th of the couplings in 1 day. Now, if we have 90 electricians, they would collectively use up couplings at a rate of 90 times the daily usage rate of a single electrician.

So, it would last this crew of 90 electricians for (120 days) x (30 electricians / 90 electricians) = 40 days.

It looks like the couplings might need to do some overtime to keep up with the high-voltage demands of 90 electricians!

To find out how many days the supply of couplings would last a crew of 90 electricians, we can use the principle of proportionality.

First, let's determine the usage rate of the couplings for a crew of 30 electricians. If the couplings last for 120 days, then the daily consumption for a crew of 30 electricians can be calculated by dividing the total supply (120 days) by the number of electricians (30):

Daily consumption rate = Total supply / Number of electricians
Daily consumption rate = 120 days / 30 electricians
Daily consumption rate = 4 days per electrician

Now, let's use the daily consumption rate to determine how long the supply of couplings would last for a crew of 90 electricians:

Number of days supply will last = Total supply / (Number of electricians × Daily consumption rate)
Number of days supply will last = 120 days / (90 electricians × 4 days per electrician)
Number of days supply will last = 120 days / 360
Number of days supply will last = 1/3 days

Therefore, the supply of couplings would last a crew of 90 electricians for approximately 1/3 of a day, or about 8 hours.