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3 machines can complete the work in 4,5, and 6 hours respectively. due to power failures they did the work alternatively. Then what is time taken to complete the work?
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Answer Posted / shivam srivastava
3 machines can complete the work in 4,5, and 6 hours respectively. due to power failures they did the work alternatively.
Work done in 1st hr = 15/60
Work done in 2nd hr = 12/60
Work done in 3rd hr = 10/60
Work done in 4th hr = 15/60
Balance work = 1-(15+12+10+15)/60 =1-52/60 = 8/60
Time taken for 8/60 work by 2nd machine = (8/60)*(60/12)=8/12 hrs = 2/3 hrs =40 mins
so total time taken = 4 hrs 40 mins
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