Question

A contractor undertakes to construct a road in 20 days and engages 12 workers. After 16 days, he finds that only 2/3 part of the work has been done. How many more workers should be now engage in order to finish the job in time?​

Answer 1

Answer:

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Explanation:

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contract

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:Work output per person per day

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:Work output per person per day(((5/8)/20)/16)

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:Work output per person per day(((5/8)/20)/16)Work left to be completed at end of 12th day = (1–5/8) = 3/8

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:Work output per person per day(((5/8)/20)/16)Work left to be completed at end of 12th day = (1–5/8) = 3/8No of labour required to complete work in day = (3/8) ÷ (((5/8)/20)/16)

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:Work output per person per day(((5/8)/20)/16)Work left to be completed at end of 12th day = (1–5/8) = 3/8No of labour required to complete work in day = (3/8) ÷ (((5/8)/20)/16)No of labour required to complete work in 4 days = (3/8) ÷ (((5/8)/20)/16) ÷ 4 = 48 labourers

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed.To complete the work in stipulated time the number of extra labours required is?28 extra workers (48 total) needed in next 4 days to comply work as per original contractMethod:Work output per person per day(((5/8)/20)/16)Work left to be completed at end of 12th day = (1–5/8) = 3/8No of labour required to complete work in day = (3/8) ÷ (((5/8)/20)/16)No of labour required to complete work in 4 days = (3/8) ÷ (((5/8)/20)/16) ÷ 4 = 48 labourersExtra workers required = 48–20=28 extra workers (labourers)

Answer 2

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A contractor undertakes to construct a road in 20 days and engages 12 workers. After 16 days, he finds that only 2/3 part of the work has been done. How many more workers should be now engage in order to finish the job in time?

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From the Question,

$\sf\dfrac{2}{3} \: part \: of \: the \: work \: has \: been \: \\ \sf \: completed \: by \: 12 \: workers \: in \: 16 \: days.$

$\sf remaining \: work = \: 1 - \dfrac{2}{3} = \dfrac{1}{3}$

Remaining number of days = 20 - 16 = 4

$\sf \: \: thus \: \dfrac{1}{3} \: part \: of \: the \: work \: is \: to \: be \\ \sf \: finished \: in \: 4 \: day.$

•°• Number of workers required to complete 2/3 part of work in 16 days = 12

Number of workers required to complete 1 work in a day

$\sf = 12 \times \dfrac{3}{2} \times 16$

Number of workers required to complete 1/3 work in 1 day

$\sf = 12 \: \times \dfrac{3}{2} \times 16 \times \dfrac{1}{3}$

Number of workers required to complete 1/3 work in 4 days

$\sf = 12 \times \dfrac{3}{2} \: \times \: 16 \times \dfrac{1}{3} \times \dfrac{1}{4}$

$\sf \: = \dfrac{6 \times 3 \times 4 \times 1 \times 1}{1 \times 3 \times 1} = 24$

•°• Number of additional workers required = 24 - 12 = 12

$\sf \frak {\underline \pink{hence \: the \: contractor \: will \: have \:to \: engage 12 \: more \: workers \: to \: complete \: the \: work \: in \: time\: }}$