Annmarie can plow a field in 240 minutes. Gladys can plow a field 80 minutes faster. If they work together, how many minutes does it take them to plow the field?
A)96 min
B)160
C)400
D)480
Thanks for the help!

Respuesta :

Answer:

Option A is the correct answer.

Step-by-step explanation:

Let the work plow a field be x.

Annmarie can plow a field in 240 minutes.

   Rate at which Annmarie can plow[tex]=\frac{x}{240}[/tex]

Gladys can plow a field 80 minutes faster

Time taken by Gladys = 240 - 80 = 160 minutes.

   Rate at which Gladys can plow[tex]=\frac{x}{160}[/tex]

If they combine time taken to plow [tex]=\frac{x}{\frac{x}{240}+\frac{x}{160}}=\frac{240\times 160}{240+160}=96\texttt{ minutes}[/tex]

Option A is the correct answer.