asked 12.4k views
3 votes
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!

1 Answer

6 votes

Answer:

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.

answered
User LOLapalooza
by
8.4k points
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