Question

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

Answer 1

Answer:

22.22 minutes

Step-by-step explanation:

Elias could polish all the silver himself in 40 minutes.

So, in 1 minute, Elias could polish $\frac{1}{40}$ of the silver.

Niko could polish all the silver in 50 minutes.

So, in 1 minute, Niko could polish $\frac{1}{50}$ of the silver.

If they work together, in 1 minute,

$\frac{1}{40} +\frac{1}{50}$ = $\frac{9}{200}$ of the silver would be polished.

Hence, total time required for them to polish all the silver is $\frac{200}{9}$ = 22.22 minutes.

Answer 2

If they both did it together it should only take them about 20 to 25 to complete it