1) Pipes A&B can fill a tank in 1 hour and 1.5 hours respectively, while pipe C drains 24 litres of water in 1 minute. If all the three taps are kept open, when the tank is full, the tank gets emptied in 1 hour. Find the capacity of the tank.
Answers
Answer:
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Given:
Pipe A fills a tank in 1 hour
Pipe B fills a tank in 1.5 hours
Pipe C drains 24 Litres of water in 1 minute
If all the three taps are kept open, when the tank is full, the tank gets emptied in 1 hour.
To find:
The capacity of the tank.
Solution:
Pipe A fills a tank in 1 hour or 60 mins
Pipe B fills a tank in 1.5 hours or 90 mins
Pipe C drains 24 Litres of water in 1 minute
If all open gets drained in 1 hour or 60 minutes
Using LCM method
LCM of (60,90,60) = 180
We will find the least common multiple for the time taken by the pipes and get the total water that will be present at the maximum limit.
TIME TOTAL EFFICIENCY
A 60 min 180 3 litres/ minute
B 90 min 180 2 litres/ minute
A+B-C 60 min 180 3 litres/ minute
to find efficiency of C
A+B-C = TOTAL
The the total efficiency is equal to the sum of the pipes that add water minus the the efficiency of the pipe that drains.
3+2-C= 3
EFFICIENCY OF C = 2 units
2 units = 24 Litres
180 units = 24/ 2 × 180
=12 × 180
= 2160 litres