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How long would it take franklin to shovel the driveway alone?

How long would it take franklin to shovel the driveway alone?-example-1
User Shikyo
by
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1 Answer

2 votes

Answer:

Time taken by Franklin to shovel alone is 65.5 minutes.

Explanation:

Let the time taken by Franklin to shovel alone = x minutes.

Since, the time taken by Angela to shovel = 180 minutes and the time taken by both = 48 minutes.

Then, we have,

Amount of shoveling done in 1 minute by Angela =
(1)/(180)

Amount of shoveling done in 1 minute by both =
(1)/(48)

Amount of shoveling done in 1 minute by Franklin=
(1)/(x)

So, we have,


(1)/(180)+(1)/(x)=(1)/(48)

i.e.
(x+180)/(180x)=(1)/(48)

i.e.
48(x+180)=180x

i.e.
48x+8640=180x

i.e.
132x=8640

i.e. x= 65.5 minutes

Thus, the time taken by Franklin to shovel alone is 65.5 minutes.

User Kinsey
by
6.6k points