Maria and John love their skateboards. One day they were on

their skateboards 30 miles apart. Maria started riding towards

John at 10 mph. John started riding toward Maria at 5 mph. A

butterfly starting on Maria's skateboard flew back and forth

between the two skateboards until they met. The butterfly was

Flying at 30 mph. How far did the butterfly travel?

The butterfly traveled a distance of 69 miles.

Step-by-step explanation:

Given that:

- The distance between Maria and John = 30 miles

- Maria's speed = 10 mph

- John's speed = 5 mph

- Butterfly's speed = 30 mph

We want to find how far the butterfly traveled.

First note that Speed is the ratio of distance traveled to the time taken.

It is given as

s = D/t

where s is speed, D is distance, and t is time.

From this, we can say that

D = st

That is, distance is the product of speed and time.

Maria ran at 10mph. Let the distance she ran be D1. Then

D1 = 10*t = 10t miles

John ran at 5mph. Let the distance he ran be D2. Then

D2 = 5*t = 5t miles

The total distance between them is 30 miles. That is the sum of D1 and D2 is 30

D1 + D2 = 10t + 5t = 30

15t = 30

t = 30/15

t = 2 hours

Meaning it took Maria and John 2 hours to meet.

Now, a butterfly starting on Maria's skateboard flew back and forth between the two skateboards until they met. It flew at a speed of 30mph, and at time 2 hours, we can easily obtain the distance it covered.

D = st

D = 30*2

= 60

Distance = 60 miles

Therefore, the butterfly traveled a distance of 60 miles.

Given Information:

Distance between Maria and John = 30 miles

Maria's speed = 10 mph

John's speed = 5 mph

Butterfly's speed = 30 mph

Required Information:

How far did the butterfly travel = ?

Answer:

How far did the butterfly travel = 60 miles

Step-by-step explanation:

The speed, distance and time are related as,

Distance = speed*time

The distance that Maria has to cover = 10t miles

The distance that John has to cover = 5t miles

The total distance between them is 30 miles

Mathematically,

10t + 5t = 30

15t = 30

t = 30/15

t = 2 hours

So that means it took Maria and John 2 hours to meet.

We know that a butterfly starting on Maria's skateboard flew back and forth

between the two skateboards until they met.

So that means butterfly flew for 2 hours at a speed of 30 mph.

Then the distance covered by the butterfly is

Distance = speed*time

Distance = 30*2

Distance = 60 miles

Therefore, the butterfly traveled a distance of 60 miles.