Prabu and balaji are two workers. Working together they can complete the whole work in 20 hours. If the Prabu worked for 5 hours and balaji worked for 17 hours, still there was half of the work to be done. In how many hours Prabu working alone, can complete the whole work? a) 17 hours b) 23 hours c) 34 hours d) 37 hours

1 Answer

Answer :

C

Efficiency of Prabu and balaji = 5%

Prabu worked for 5 hours and balaji worked separately 17 hours.

Which means it can be considered that Prabu and balaji worked together for 5 hours and balaji worked alone

for 12 hours.

Thus, Prabu and balaji in 5 hours can complete 25% work.

It means the remaining (50 ⎯25) = 25% of the work was done by balaji in 12 hours.

Therefore, balaji can do 100% work in 48 hours.

It means the efficiency of balaji = 2.08%

Therefore, efficiency of prabu = (5-2.08) = 2.92%

Thus, prabu require . = 34 hours to complete the work alone.

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