P can complete a work in 15 days and Q can complete in 10 days . after doing 2 days work together , p fled away . so, in how many days Q will complete the remaining work (from chapter time and work
Answers
The remaining work will be completedly in15 days
Solution
P can complete a work in 15 days.
so, P's one day work = 1
15
Q can complete a work in 10 days.
so, Q's one day work = 1
10
now, (P+Q)'s one day work = 1 + 1
15 10
= 2 + 3
30
= 5
30
= 1
6
so, (P+Q)'s two days work = 1 × 2
6
= 1
3
then, remaining work = 1 - 1
3
= 3 - 1
3
= 2
3
now, let the no. of days in which Q complete the remaining work be x days.
ATQ
1 × x = 2
10 3
=) x = 2 ×10
3
=) x = 20
3
=) x = 6 2 days .
3
Solved.