Answer :
Sure, let's break down the solution step-by-step:
1. Understand the Problem:
- A tap can fill a 500-liter water tank in 5 minutes.
- We need to find out how many seconds it takes to fill 1 liter of water.
- We also need to find out how long it will take to fill a 5000-liter tank.
2. Convert Time Minutes to Seconds:
- We know that 1 minute = 60 seconds.
- Therefore, 5 minutes = [tex]\( 5 \times 60 \)[/tex] seconds = 300 seconds.
3. Calculate Time to Fill 1 Liter:
- The tap fills 500 liters in 300 seconds.
- To find the time it takes to fill 1 liter, divide the total time by the tank capacity:
[tex]\[
\text{Time to fill 1 liter} = \frac{300 \text{ seconds}}{500 \text{ liters}} = 0.6 \text{ seconds per liter}
\][/tex]
4. Calculate Time to Fill a 5000-Liter Tank:
- Now we know it takes 0.6 seconds to fill 1 liter.
- To find the time to fill 5000 liters, multiply the time per liter by the total number of liters:
[tex]\[
\text{Time to fill 5000 liters} = 0.6 \text{ seconds/liter} \times 5000 \text{ liters} = 3000 \text{ seconds}
\][/tex]
Summary:
- It takes 0.6 seconds to fill 1 liter of water.
- Therefore, it will take 3000 seconds to fill a 5000 liter tank.
1. Understand the Problem:
- A tap can fill a 500-liter water tank in 5 minutes.
- We need to find out how many seconds it takes to fill 1 liter of water.
- We also need to find out how long it will take to fill a 5000-liter tank.
2. Convert Time Minutes to Seconds:
- We know that 1 minute = 60 seconds.
- Therefore, 5 minutes = [tex]\( 5 \times 60 \)[/tex] seconds = 300 seconds.
3. Calculate Time to Fill 1 Liter:
- The tap fills 500 liters in 300 seconds.
- To find the time it takes to fill 1 liter, divide the total time by the tank capacity:
[tex]\[
\text{Time to fill 1 liter} = \frac{300 \text{ seconds}}{500 \text{ liters}} = 0.6 \text{ seconds per liter}
\][/tex]
4. Calculate Time to Fill a 5000-Liter Tank:
- Now we know it takes 0.6 seconds to fill 1 liter.
- To find the time to fill 5000 liters, multiply the time per liter by the total number of liters:
[tex]\[
\text{Time to fill 5000 liters} = 0.6 \text{ seconds/liter} \times 5000 \text{ liters} = 3000 \text{ seconds}
\][/tex]
Summary:
- It takes 0.6 seconds to fill 1 liter of water.
- Therefore, it will take 3000 seconds to fill a 5000 liter tank.
