please explain the sum ANS:3.05hrs
Attachments:
Answers
Answered by
0
l.c.m of 5,10,15 are 30,30 IS FULL CAPACITY
A PIPE EFFICIENCY 6 THAT IS RATE (5*6)=30
B PIPE EFFICIENCY 3 (10*3)=30
SIMILARLY C IS 2
A IN 1 HOUR 3/4 OF RATE =3/4*6=9/2
B=3/4*3=9/4
C=2/3*2=4/3
TOTAL EFFICIENCY IN 1ST HOUR=9/2+9/4+4/3=97/12
97/12 TANK IS FILLED
REMAINING=30-97/12=263/12
2nd hour A=6;B=3;C=4/3
TOTAL=31/3
31/3 TANK IS FILLED
REMAINING=263/12-31/3=139/12
A=6;B=3;C=2
RATE ARE NOT REDUCED
X IS TIME TO FILL THE 139/12 SPACE
11*X=139/12
X=1.05
total time is 1+1+1.05=3.05 hours
A PIPE EFFICIENCY 6 THAT IS RATE (5*6)=30
B PIPE EFFICIENCY 3 (10*3)=30
SIMILARLY C IS 2
A IN 1 HOUR 3/4 OF RATE =3/4*6=9/2
B=3/4*3=9/4
C=2/3*2=4/3
TOTAL EFFICIENCY IN 1ST HOUR=9/2+9/4+4/3=97/12
97/12 TANK IS FILLED
REMAINING=30-97/12=263/12
2nd hour A=6;B=3;C=4/3
TOTAL=31/3
31/3 TANK IS FILLED
REMAINING=263/12-31/3=139/12
A=6;B=3;C=2
RATE ARE NOT REDUCED
X IS TIME TO FILL THE 139/12 SPACE
11*X=139/12
X=1.05
total time is 1+1+1.05=3.05 hours
Similar questions