A is thrice as good workman as B, and takes 60 days less than B to complete a job. Find the time in which they can do it together.

Foundation

Mathematics Foundation

Mixture

Time Speed Distance

Direct and Inverse Proportions

Question

A is thrice as good workman as B, and takes 60 days less than B to complete a job. Find the time in which they can do it together.

$\frac{45}{2}$ days

$\frac{90}{6}$ days

$\frac{35}{2}$ days

$\frac{80}{3}$ days

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If B can do the work in 3x days

So, A can do it in x days

3x – x = 60

x = 30

A does it in 30 days and B in 90 days

Hence work done by A and B together in 1 day = $\frac{1}{90} + \frac{1}{30} = \frac{2}{45}$

So, No. of days = $\frac{45}{2}$