P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?
- A40/9
- B20/9
- C60/7
- D40/7
Solution & Step-by-step Explanation
Work done by P in 1 day =
8
1
Work done by Q in 1 day =
10
1
Work done by both P and Q together in 1 day:
8
1
+
10
1
=
40
5+4
=
40
9
Therefore, the number of days required for both to complete the work together is:
Days=
9
40
8
1
Work done by Q in 1 day =
10
1
Work done by both P and Q together in 1 day:
8
1
+
10
1
=
40
5+4
=
40
9
Therefore, the number of days required for both to complete the work together is:
Days=
9
40