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Wewaii [24]
3 years ago
13

Dale travels from city A to city B to city C and back to city A. Each city is exactly 120 miles from the other two. His average

rate from city A to city B is 60 mph. His average rate from city B to city C is 40 mph. His average rate from city C to city A is 24 mph. What is Dale's average rate for the entire trip, in miles per hour?
Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

Answer:

average\ speed = 36\ mi/hr

Step-by-step explanation:

Given:

Each city is exactly 120 miles from the other two.

Average rate from city A to city B = 60 mi/hr

Average rate from city B to city C = 40 mi/hr

Average rate from city c to city A = 24 mi/hr

We need to find the Dale's average rate for the entire trip.

Solution:

First we find the total time and total distance by following way.

Time taken to travel from A to B = \frac{Distance}{Speed} = \frac{120}{60}= 2\ hr

Time taken to travel from B to C = \frac{Distance}{Speed} = \frac{120}{40}= 3\ hr

Time taken to travel from C to A = \frac{Distance}{Speed} = \frac{120}{24}= 5\ hr

So, total time taken = 2+3+5=10\ hr

Total distance =  120 + 120 + 120 = 360 miles

Using average speed formula.

average\ speed = \frac{Total\ distance}{Total\ time\ taken}

average\ speed = \frac{360}{10}

average\ speed = 36\ mi/hr

Therefore, the average rate for the entire trip average\ speed = 36\ mi/hr

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amm1812

Answer:

1) Photographer B (4%)

2) Photographer D (27%)

3) Photographer C (29%)

4) Photographer A (40%)

Step-by-step explanation:

<u><em>The correct question is</em></u>

Four photographers are taking pictures at a school dance. Photographer A takes 2/5 of the pictures, Photographer B takes 4% , Photographer C takes 0.29 , and Photographer D takes 27/100 . Which choice lists the photographers in order from least to greatest by the amount of pictures they take?

we know that

1) Photographer A takes 2/5 of the pictures

That means

the amount of pictures take by photographer A in percent form is equal to multiply the fraction by 100

2/5(100)=40\% ---> percentage form

2) Photographer B takes 4%

3) Photographer C takes 0.29

That means

the amount of pictures take by photographer C in percent form is equal to multiply the decimal number by 100

0.29(100)=29\% ---> percentage form

4) Photographer D takes 27/100

That means

the amount of pictures take by photographer D in percent form is equal to multiply the fraction by 100

(27/100)(100)=27\% ---> percentage form

Lists the photographers in order from least to greatest by the amount of pictures they take

1) Photographer B (4%)

2) Photographer D (27%)

3) Photographer C (29%)

4) Photographer A (40%)

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