Question

5.
A contractor undertook to make 60 km of roadways in 80 days. In 20 days, only 12 km of road was
completed by 360 men working 8 hours a day. The men then agreed to work an hour per day overtime
and some boys were also engaged to assist them and thus
the work was completed in agreed time. Find
the number of boys engaged to assist if the working capacity of 3 boys was equal to that of 2 men.

​

Answer 1

3 km road can be made by working (10*24*8)hrs by 180 men

1km............................................................................... 180/3 men

1km.....................................................1 hr...................{180*(10*24*8)}/3 men

12km.............................................................................{180*(10*24*8)*12}/3men

12km...................................................(30*24*9)hrs....{180*(10*24*8)*12}/{3*(30*24*9)}men

=640/3 men

extra men needed=640/3-180=100/3 men

now,

2 men=3 boys

1men=3/2 boys

100/3men=(3/2)*100/3 boys

=50 boys(answer)

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Answer 2

$\huge \pink \star{ \green{ \boxed{ \boxed{ \boxed{ \purple{ \mathfrak{answer :}}}}}}} \pink\star$

$\mathtt{\bf{\underline{\red{Given\::}}}}$

60 km = 80 days

12 km = 20 days.

360 men = 8 hours per day

3 boys = 2 men

$\mathtt{\bf{\underline{\red{According\:to\:the\:question\::}}}}$

8 hours + extra an hour

=> 8 + 1

=> $\sf\large\underline\blue{9 hours}$.

60 km , 12 km ( completed )

=> 60 - 12

=> $\sf\large\underline\blue{48 km. </p><p>}$

3 boys = 2 men ( given )

=> 1 men = 3 / 2

=> $\sf\large\underline\blue{1.5 men}$

Total men = 360

=> 360 / 1.5

=> $\sf\large\underline\blue{240}$

Therefore 240 boys worked 9 hours to complete 48 km.