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## 25. Tom and Jerry must stuff and mail 1000 envelopes for a new marketing campaign. Jerry can do the job alone in 6 hours. If Tom h

Question

25. Tom and Jerry must stuff and mail 1000

envelopes for a new marketing campaign. Jerry

can do the job alone in 6 hours. If Tom helps,

they can get the job done in 4 hours. How long

would it take Tom to do the job by himself?

A. 4 hours

B. 5 hours

C. 8 hours

D. 12 hours

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Math
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2021-09-11T00:10:59+00:00
2021-09-11T00:10:59+00:00 2 Answers
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## Answers ( )

Answer:12

Step-by-step explanation:The general formula for this is

Formula

1/t1 + 1/t2 = 1/t_tot

givens

t1 = 6 hours

t2 = x

t_tot = 4 hours

Solution

1/6 + 1/x = 1/4 Subtract 1/6 from both sides.

1/6-1/6 + 1/x = 1/4 – 1/6 Change to 12 as your common denominator

1/x = 3/12 – 2/12 subtract

1/x = 1/12 Cross multiply

x = 12

Tom would need 12 hours to do the job alone.

Answer:Option D. 12 hours

Step-by-step explanation:Let the work done by Tom to do the job alone = x hours

So per hour work done by Tom =

Jerry can do the job alone in the time = 6 hours

Per hour work done by Jerry =

Similarly job done by both together in the time = 4 hours

Per hour work done by both together =

Now we know,

Per hour work done by both together = per hour work done by Tom + Per hour work don by Jerry

x = 12 hours

Option D. will be the answer.