Question

Ajit can complete a job in 4 days ,Manoj can complete the same job in 6 days and Ravi can complete it in 12 days. In how many days will Ajit ,Manoj and Ravi together complete the same job
a) 2 days
b) 3 days
c) 1 days
d) 9 days

Answer 1

H.C.F of 4,6,and12 are
4=2×2
6=2×3
12=2×2×3
H.C.F=2
Hence, Ajit,Manoj and Ravi together complete the same job in 2 days.

Answer 2

$\huge{\underline{\mathrm{\orange{Solution-}}}}$

Ajit's one day's work = $\tt\frac{ 1}{4}$

Manoj's one day's work = 1/6 $\tt\frac{ 1}{6}$

Ravi's one day's work = $\tt\frac{ 1}{12}$

$\huge{\underline{\mathrm{\red{Now,}}}}$

(Ajit +manoj+Ravi)'s one day's work =$\tt \frac{ 1}{4}+ \frac{ 1}{6} +\frac{ 1}{12}$

$\longrightarrow \tt \frac{3+2+1}{12}$

$\longrightarrow \tt \frac{6}{12}$

$\longrightarrow \tt \frac{ 1}{2}$

So, Ajit, manoj and ravi together can complete the work in 2 days.

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