1. distance/time = constant

Using the given information, we can set up the proportion as:

5 km / 30 min = 7 km / x

where x is the time it takes to jog 7 km.

To solve for x, we can cross-multiply and simplify:

5 km * x = 7 km * 30 min

5x = 210

x = 42

Therefore, it will take you 42 minutes to jog 7 km at the same rate of 5 km in 30 minutes.

2. 8 filters : P2000 = 6 filters : x

where x is the cost of six filters.

To solve for x, we can cross-multiply and simplify:

8 filters * x = P2000 * 6 filters

x = (P2000 * 6 filters) / 8 filters

x = P1500

Therefore, the cost of six filters would be P1500.

3.Number of employees × Time = Constant

Let x be the time it would take 5 employees to wash 20 vehicles. Then we have:

4 employees × 5 hours = 20 vehicles

5 employees × x hours = 20 vehicles

We can set these two expressions equal to each other and solve for x:

4 employees × 5 hours = 5 employees × x hours

20 hours = 5x

x = 4 hours

Therefore, it would take 5 employees 4 hours to wash 20 vehicles, which is less time than it takes 4 employees to wash the same number of vehicles.

Verified answer

Answer:

1. We can use a proportion to solve the problem:

distance / time = distance / time

Let's plug in the values we know and solve for the unknown time:

5 km / 30 minutes = 7 km / x

To solve for x, we can cross-multiply:

5 km * x = 30 minutes * 7 km

5x = 210

x = 42

Therefore, it will take You approximately 42 minutes to jog 7 km at the same rate of 5 km in 30 minutes.

2. Let's use the proportion:

8 liters / ₱2000 = 6 liters / x

where x is the unknown cost of 6 liters.

We can solve for x by cross-multiplying and simplifying:

8 liters * x = 6 liters * ₱2000

x = (6 liters * ₱2000) / 8 liters

x = ₱1500

Therefore, the cost of 6 liters is ₱1500.

3. Let's use the proportion:

number of employees : time = constant ratio : number of vehicles

For the first situation, we have:

4 : 5 = k : 20

where k is the constant ratio we're looking for.

To solve for k, we can cross-multiply:

4 * 20 = 5 * k

k = (4 * 20) / 5 = 16

So the constant ratio is 16.

Now we can use this ratio to solve the second situation, where we have 5 employees:

5 : t = 16 : 20

where t is the time it takes for 5 employees to wash 20 vehicles.

Again, we can cross-multiply and solve for t:

5 * 20 = 16 * t

t = (5 * 20) / 16 = 6.25

Therefore, it would take 5 employees to wash 20 vehicles in 6.25 hours.

Step-by-step explanation:

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