Parimal has done 1/4 th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

Parimal has done 1/4 th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?
1). 8 days
2). 24 days
3). 12 days
4). 16 days

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2 answers

2 vote

Answered by Guest on 2018-06-07 19:43:12 | Votes 2 | #

I think option 4 is the right answer

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Somu · Accepted Answer · 2020-10-11 02:56:16

Let total work to be done $= 80$ units

Work done by Parimal in 10 days $= \frac{1}{4} \times 80 = 20$ units

Parimal's efficiency $= \frac{20}{10} = 2$ units/day

Remaining work $= 80 - 20 = 60$ units

Salim completes $60$ units in $20$ days

=Salim's efficiency $= \frac{60}{20} = 3$ units/day

(Parimal + Salim)'s 1 day's work $= 2 + 3 = 5$ units/day

$\therefore$ Time taken by them together to do the job $= \frac{80}{5} = 16$ days

Parimal has done 1/4 th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

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