Water flows into a tank at the rate of 3 litres per minute.
a. If the tank fills completely in 450 seconds what is the capacity of the tank in ml?
A hole is drilled in the bottom of the tank. Water flows out of the hole at a rate of 60 ml per second.
b. How long will the tank take to drain completely if the flow of water IN continues at the same rate?
Answers
Answer:
hope this will help you ok..
Given: The rate at which water flows into the tank = 3 litres per minute
Time taken to fill the tank completely = 450 seconds
The rate at which water flows out of the hole = 60 ml per second
To find: a. The capacity of the tank
b. The time taken to drain the tank completely
Solution: We know, 1 litre = 1000 cm³ or 1000 ml.
Therefore, 3 litres per minute = (3 × 1000) ml per minute
= 3000 ml per minute
Now we convert the time from seconds to minutes.
450 seconds = 450/60 minutes.
a. Hence, the capacity of the tank = rate × time
= 3000 ml per minute × 450/60 minutes
= 500 × 45 ml
= 22500 ml
b. Now we compare the rate of the water flowing into the tank and flowing out of the hole.
The rate of the water flowing into the tank
= 3000 ml per minute
= 3000/60 ml per second
= 50 ml per second.
As such, if water flows in at a rate of 50 ml per second and flows out at a rate of 60 ml per second, there is a net loss of 10 ml per second.
Hence, the time taken to drain the tank completely
= capacity/rate
= 22500/10 seconds
= 2250 seconds.
Answer: a. 22500 ml
b. 2250 seconds