Question

Paul traveled the first 2 hours of his journey at 40 miles/hour, and the remaining 3 hours of his journey at 80 miles/hour. What is his average speed of paul for the entire journey

Answer 1

Answer:

64 miles per hour

Explanation:

s=d/t

40*2=d

80 miles

80*3=d

240miles

AVG speed total distance / total time

320/5=64 miles per hour

Answer 2

The average speed of Paul in his entire journey is 64 miles/hour.

Given:

Paul traveled the first 2 hours of his journey at 40 miles/hour, and the remaining 3 hours of his journey at 80 miles/hour.

To Find:

The average speed of Paul for his entire journey.

Solution:

In the first 2 hours, his speed is 40 miles/hour.

In the next 3 hours, his speed is 80 miles/hour.

At first, we need to find the individual distances traveled in the first 2 hours and the next 3 hours.

Let,

Distance traveled in the first two hours = d₁

Distance traveled in next three hours = d₂

We know,

Speed = Distance/Time

or, Distance = Speed × Time

i.e,

d₁ = 40 × 2

   = 80

Distance traveled in the first two hours is 80 miles

And,

d₂ = 80 × 3

    = 240

Distance traveled in the next three hours is 240 miles

Now, we need to find the average speed.

We know,

Average speed = Total distance / Total time

i.e,

Average speed

= $\frac{80+240}{2+3}$

= $\frac{320}{5}$

= 64

Hence, the average speed of Paul in his entire journey is 64 miles/hour.

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