The time taken in minutes to fill a tank having a capacity or work of 1.5m³ is 1.2 minutes;
What are Time and Work?
According to fundamental mathematical concepts, time may be described as the amount of time that a specific activity occurs, whereas work can be described as the collection of actions carried out in order to attain a specific activity or outcome. It should go without saying that time is needed to accomplish a task. It implies that time and work have a certain relationship.
The task completed is calculated as the sum of the number of people participating in the work and the number of days it took to finish. The fundamental time and work equation is W = N X D.
W is the amount of work done.
N is the number of people.
D is the number of days or hours needed.
In the question, It is given that:
water flowing off a certain pipe is 75 liters per minute;
and;
the tank has a capacity of 1.5m³
First converting the Efficiency in liters per second,
So,
water flowing off a certain pipe is 75 liters per minute;
So, dividing it by 60 ;
Water flowing off the pipe = 1.25;
Now using the work-time relationship:
Efficiency × Time = work;
So,
1.25×Time = 1.5
⇒Time = 1.2
So, the time taken in minutes to fill a tank having a capacity of 1.5m³ is 1.2 minutes;
Hence,
the time taken in minutes to fill a tank having a capacity of 1.5m³ is 1.2 minutes;
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