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Lea left home and drove toward the ferry office at an average speed of 22 km.H. Trevon left at the same time and drove in the opposite direction with an average speed of 43 km/h. How long does Trevon need to drive before they are 65 km apart?

User Lyuba
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5.8k points

2 Answers

6 votes

Final answer:

To be 65 km apart, Lea and Trevon need to drive for 1 hour.

Step-by-step explanation:

To find the time it takes for Lea and Trevon to be 65 km apart, we need to determine how long they need to drive until their total distance traveled is 65 km. Since they are driving in opposite directions, their distances traveled will add up to 65 km.

Since Lea's average speed is 22 km/h and Trevon's average speed is 43 km/h, their combined speed is 22 km/h + 43 km/h = 65 km/h. This means that every hour, they will have covered a total distance of 65 km.

Therefore, they will need to drive for 65 km รท 65 km/h = 1 hour to be 65 km apart.

User Renan Franca
by
5.6k points
3 votes

Answer:

1 hour

Step-by-step explanation:

Lea's speed = 22km/hr

Trevon's speed = 43km/hr in a direction opposite Lea's

How long does Trevon needs to drive before they are 65km apart.

Note : both took at the same time and in opposite direction.

Recall : speed = distance / time

Distance = speed * time

Distance between them = 65km

Let Trevon's distance = D2 = 43 * t

Lea's distance = D1 = 22 * t

t is the same since they both left at the same time.

D2 + D1 = 65

43t + 22t = 65

65t = 65

t = 65/65

t = 1 hour

User Barerd
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6.4k points