Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?
- A4 hours
- B6 hours
- C2 hours
- D11 hours
Solution & Step-by-step Explanation
Let the efficiency of Murad be 1 unit/hour.
Since Murad takes 33 hours to finish the work:
Total Work=Efficiency×Time=1×33=33 units
Joel is 100% more efficient than Murad:
Efficiency of Joel=1+(
100
100
×1)=2 units/hour
Combined efficiency of Murad and Joel:
Total Efficiency=1+2=3 units/hour
Time taken by both together to complete the work:
Time=
Total Efficiency
Total Work
=
3
33
=11 hours
Since Murad takes 33 hours to finish the work:
Total Work=Efficiency×Time=1×33=33 units
Joel is 100% more efficient than Murad:
Efficiency of Joel=1+(
100
100
×1)=2 units/hour
Combined efficiency of Murad and Joel:
Total Efficiency=1+2=3 units/hour
Time taken by both together to complete the work:
Time=
Total Efficiency
Total Work
=
3
33
=11 hours