Question

If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?

Answer 1

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

----------------------------------------------------

6 men            3 m hole              4 days

10 men           7 m hole             x days

-----------------------------------------------------

As $6$ men dig a hole in $4$ days, so their rate will be:

$rate\:=\:\frac{4}{3}$

Then  $6$ men would take $7\times \frac{4}{3}=\frac{28}{3}$ days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take $\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}$ days.

so

$\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}$

             $=5.6$   days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Answer 2

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

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