Question

55 deliveries in 11 hours = 5 deliveries in __hours

Answer 1

1 hour

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 2

1 hour

Explanation:

let x = unknown number of hours

Set up ratios of deliveries to hours

`\sf \implies 55 : 11 = 5 : x`

`\sf \implies (55)/(11)=(5)/(x)`

Cross multiply:

`\sf \implies 55x=5 \cdot 11`

`\sf \implies 55x=55`

Divide both sides by 55:

`\sf \implies x=1`

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