Two pipes A and B can fill an empty cistern in 8 hours and 10 hours respectively. If both the pipes are simultaneously opened in an empty cistern, what part of the cistern is filled after 4 hours?
1). 3/5
2). 9/10
3). 3/10
4). 9/12
Part filled by pipe A in 1 hr. = 1/8
Part filled by pipe B in 1 hr. = 1/10
Part filled by pipes A & B in 1 hr. = 1/8 + 1/10 = 9/40
Part filled by pipes A & B in 2 hrs. = 4 × 9/40 = 9/10
∴ After 4 hours, 9/10 part of the cistern is filled