A team of 5 people took 8 days to finish an assignment. If one member leaves the team, how much time will it take for the team to complete the same assignment?

8 days

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9 days

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12 days

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10 days

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Solution

The correct option is D 10 days
If there are less people on the team, the time taken to finish the assignment will be more.

$∴$ This is a case of inverse proportion.
If one person leaves the team, there will be 5-1 = 4 people on the team.

Using the formula for inverse proportion,
$N u m b e r o f t e a m m e m b e r s \times N u m b e r o f d a y s = c o n s t a n t$
$\Rightarrow 5 \times 8 = 4 \times N u m b e r o f d a y s$
$∴ N u m b e r o f d a y s r e q u i r e d = \frac{5 \times 8}{4} = 10 d a y s$ .

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