1.

Varun alone can do a piece of work in 16 hours while Akash alone can do it in 18 hour. They together took Rs. 432 to do the same work. If with the help of Arun, they finish the piece of work in 4 hour, then how much money is paid to Arun?1). Rs. 1782). Rs. 1983). Rs. 2284). Rs. 200

Answer»

VARUN alone can do a piece of work in 16 hours while Akash alone can do it in 18 hour

If Varun and Akash work together then,

In 1 hr they will complete $(= \left( {\frac{1}{{16}} + \frac{1}{{18}}} \right) = \;\frac{{9 + 8}}{{144}} = \frac{{17}}{{144}})$ of the work

To complete the whole work they will take $(\frac{1}{{\frac{{17}}{{144}}}} = \;\frac{{144}}{{17}}\;hrs)$

They together took Rs. 432 to do the same work. If with the help of Arun, they FINISH the piece of work in 4 hour.

For 144/17 hrs of work Varun and Akash are CHARGING Rs 432

For 4 hrs of work, tha amount Varun and Akash should charge $(= \;\;Rs.\;432\; \times \frac{{17}}{{144}} \times 4 = 204)$

So they should give the rest of the money to Arun.

Arun will get (432 – 204) = Rs. 228


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