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55 deliveries in 11 hours = 5 deliveries in __hours

Sagot :

Answer:

1 hour

Step-by-step explanation:

To solve this problem, we will need to use the unitary method.

Determining the equation:

⇒ 55 deliveries in 11 hours

⇒ 55 deliveries = 11 hours

Finding how much hours in 5 deliveries:

Divide both sides by x:

⇒ 55 deliveries = 11 hours

⇒ 55/x deliveries = 11/x hours

Simplify the numerators:

⇒ 55/x deliveries = 11/x hours

⇒ 5/x deliveries = 1/x hours

Use cross multiplication:

⇒ 5x deliveries = x hours

Divide both sides by x:

⇒ 5x/x deliveries = x/x hours

5 deliveries = 1 hour

Answer:

1 hour

Step-by-step explanation:

let x = unknown number of hours

Set up ratios of deliveries to hours

[tex]\sf \implies 55 : 11 = 5 : x[/tex]

[tex]\sf \implies \dfrac{55}{11}=\dfrac{5}{x}[/tex]

Cross multiply:

[tex]\sf \implies 55x=5 \cdot 11[/tex]

[tex]\sf \implies 55x=55[/tex]

Divide both sides by 55:

[tex]\sf \implies x=1[/tex]

Therefore, 55 deliveries in 11 hours = 5 deliveries in 1 hour