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One man started a project on the first day. One man joins on each day

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One man started a project on the first day. One man joins on each day  [#permalink]

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New post 30 Oct 2018, 05:06
5
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A
B
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D
E

Difficulty:

  55% (hard)

Question Stats:

59% (02:12) correct 41% (02:25) wrong based on 46 sessions

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One man started a project on the first day. One man joins on each day starting from the second day. The project will be completed in exactly 20 days. Instead, if a team of 7 men work regularly, the work will be completed exactly in n days. What is n?

a.15
b.20
c.24
d.30
e.35
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Posts: 218
Location: India
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Re: One man started a project on the first day. One man joins on each day  [#permalink]

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New post 30 Oct 2018, 05:38
Turkish wrote:
One man started a project on the first day. One man joins on each day starting from the second day. The project will be completed in exactly 20 days. Instead, if a team of 7 men work regularly, the work will be completed exactly in n days. What is n?

a.15
b.20
c.24
d.30
e.35


So,one man joins on day till the 20th day implies

1+2+3+4....20 =1 MANDAY + 2 MANDAYS+3 MANDAYS ...20 MANDAYS

= Arithmetic progression(formula) = (N(N+1))/2= 20*21/2= 210

So 210 is the total amount of work.(units of work)

Now
team of 7 men work regularly, the work will be completed exactly in n days.
this means total amount of work done by these 7 men team= 7*n = 7n units of work

Now 210 = 7n
n= 30


So OA D



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Re: One man started a project on the first day. One man joins on each day &nbs [#permalink] 30 Oct 2018, 05:38
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