Question

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!

Answer 1

Option A is the correct answer.

Explanation:

Let the work plow a field be x.

Annmarie can plow a field in 240 minutes.

Rate at which Annmarie can plow
`=(x)/(240)`

Gladys can plow a field 80 minutes faster

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

Rate at which Gladys can plow
`=(x)/(160)`

If they combine time taken to plow
`=(x)/((x)/(240)+(x)/(160))=(240* 160)/(240+160)=96\texttt{ minutes}`

Option A is the correct answer.