In a typing shop, Lalit can complete typing of a book in 9 days, while Amit can finish the same work in 8 days. How many days will they take together to complete the work?
- A4.98 days
- B4.23 days
- C5.23 days
- D3.99 days
Solution & Step-by-step Explanation
Let the total work be the Least Common Multiple (LCM) of 9 and 8.
Total Work=LCM(9,8)=72 units
Now, let's find their individual daily efficiencies:
Efficiency of Lalit=
9
72
=8 units/day
Efficiency of Amit=
8
72
=9 units/day
Combined efficiency of Lalit and Amit:
Total Efficiency=8+9=17 units/day
Number of days required to complete the work together:
Time=
Total Efficiency
Total Work
=
17
72
≈4.235 days
Rounding to two decimal places, it is approximately 4.23 days.
Total Work=LCM(9,8)=72 units
Now, let's find their individual daily efficiencies:
Efficiency of Lalit=
9
72
=8 units/day
Efficiency of Amit=
8
72
=9 units/day
Combined efficiency of Lalit and Amit:
Total Efficiency=8+9=17 units/day
Number of days required to complete the work together:
Time=
Total Efficiency
Total Work
=
17
72
≈4.235 days
Rounding to two decimal places, it is approximately 4.23 days.