Question 10

Amit can do 50% more work than Bhushan in same time. Bhushan alone can do a piece of work in 30 hours. Bhushan starts working and had already worked for 12 hours when Amit joins him. How many hours should Bhushan and Amit work together to complete the remaining work?

Solution

Let the efficiency of Bhushan be $$x$$ units/hr.

So, efficiency of Amit be $$1.5x$$ units/hr.

Given, Bhushan alone can do a piece of work in 30 hours.

So, total work = $$30x$$ units

Given, Bhushan starts working and had already worked for 12 hours.

So, work done by Bhushan = $$12x$$ units

So, remaining work = $$30x-12x=18x$$ units

Now, this remaining work will be completed by both Amit and Bhushan.

So, required number of hours = $$\dfrac{18x}{x+1.5x}=\dfrac{18x}{2.5x}=\dfrac{180}{25}=7.2$$ hours.

So, correct answer is option (D).

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