Hexaware Time and Work Quiz 1

A can do \frac{1}{10} work in 1 day

B can do \frac{1}{15} work in 1 day

A and B can do \frac{1}{10} +\frac{1}{15} = \frac{3+2}{30} = \frac{1}{6} work in 1 day

A and B can do whole work \frac{1}{\frac{1}{6}} = 6 days

 

We know that M_{1}\times D_{1} = M_{2}\times D_{2}

=> 10 \times 12 = M_{2} \times 6

M_{2} = 20 Men Required

A’s one day work = \frac{1}{4}

B's one day work = \frac{1}{6}

Let' s say  C can dig the well in x days

C's one day work = \frac{1}{x}

combined one day work of all three together = \frac{1}{2}so \frac{1}{4} + \frac{1}{6} + \frac{1}{x} = \frac{1}{2}

\frac{5}{12} + \frac{1}{x} = \frac{1}{2}

\frac{1}{x} = \frac{1}{12}

x = 12

C can complete the dig in 12 days

A and B can do \frac{1}{6} work in 1 day

B and C can do \frac{1}{12} work in 1 day

A and C can do \frac{1}{18} work in 1 day

2(A+B+C) = \frac{1}{6} + \frac{1}{12} +\frac{1}{18}

2(A+B+C) = \frac{6 + 3 +2 }{36}

(A+B+C) = \frac{6 + 3 +2 }{36\times 2}

A , B and C can do \frac{11}{72} work in 1 day

A , B and C can do whole work \frac{1}{\frac{11}{72}} = \frac{72}{11} day

 

1 day work of A = \frac{1}{40}

1 day work of (A+B) = \frac{1}{24}

1 day work of B = \frac{1}{24} - \frac{1}{40} = \frac{2}{120}

B takes how many days to complete that Particular Job = \frac{1}{\frac{2}{120}} = 60days

A can do \frac{1}{2} work in 1 day

B can do \frac{1}{3} work in 1 day

C can do \frac{1}{6} work in 1 day

A , B and C can do \frac{1}{2} +\frac{1}{3} +\frac{1}{6} = \frac{3+2+1}{6} = \frac{1}{1}work in 1 day

A , B and C can do whole work \frac{1}{\frac{1}{1}} = 1day

 

B is 20 % more efficient than A

Means B can do 1+1\times \frac{20}{100} = 1.20 work in 24 days

Then to complete 1 work \frac{24}{1.20} = 20 days

 

\frac{M_{1}\times D_{1}\times H_{1}}{W_{1}} = \frac{M_{2}\times D_{2}\times H_{2}}{W_{2}}

\frac{10\times 4\times 4 }{12} = \frac{25 \times D_{2}\times 2}{15}

D_{2} = 4 days

 

We know Total Work = 1

Remaining Work = 1-\frac{1}{7} =\frac{6}{7}

 

\frac{1}{4} \times ( 8M +4W) = (2M +1W)

it will be Four times of 12 = 48 days