Mathematics : asked on natalie2sheffield

23.01.2022

If a bus travels an average of 44 miles per hour, how long will it take for the bus to make a 1,320 mile trip?

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Mathematics

Abus traveled on a level road for 4 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. the time spent on the winding road was 5 hours. find the average speed on the level road if the entire trip was 449 miles.

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P Answered by PhD

To solve this problem, we must recall that the formula for velocity assuming linear motion:

v = d / t

Where,

v = velocity

d = distance

t = time

For condition 1: bus travelling on a level road

v1 = d1 / t1

(v2 + 20) = (449 – d2) / 4 --->1

For condition 2: bus travelling on a winding road

v2 = d2 / t2

v2 = d2 / 5 --->2

Combining equations 1 and 2:

(d2 / 5) + 20 = (449 – d2) / 4

0.8 d2 + 80 = 449 – d2

1.8 d2 = 369

d2 = 205 miles

Using equation 2, find for v2:

v2 = 205 / 5

v2 = 41 mph

Since v1 = v2 + 20

v1 = 41 + 20

v1 = 61 mph

Therefore the average speed on the level road is 61 mph.

Mathematics

Abus averages 8 miles per hour faster than a trolley. if the bus travels 60 miles in the same time it takes the trolley to travel 44 miles, then what is the speed of each

Step-by-step answer

P Answered by PhD

Bus speed: 22 mph; Trolley speed: 14 mph

Step-by-step explanation:

Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).

Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.

Thus,

60 mi 44 mi

= time (same in both cases) =

rt + 8 mi/hr rt

Cross-multiplying, we get 44rt + 8(44) = 60 rt, or

352 = 16rt.

Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph

The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph

Mathematics

Abus averages 8 miles per hour faster than a trolley. if the bus travels 60 miles in the same time it takes the trolley to travel 44 miles, then what is the speed of each

Step-by-step answer

P Answered by PhD

Bus speed: 22 mph; Trolley speed: 14 mph

Step-by-step explanation:

Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).

Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.

Thus,

60 mi 44 mi

= time (same in both cases) =

rt + 8 mi/hr rt

Cross-multiplying, we get 44rt + 8(44) = 60 rt, or

352 = 16rt.

Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph

The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph

Mathematics

Abus traveled on a level road for 44 hours at an average speed 20 miles per hour faster than it traveled on a winding road. the time spent on the winding road was 55 hours. find the average speed on the level road if the entire trip was 449 miles

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P Answered by Specialist

ANSWER AT THE BOTTOM BELOW

Abus traveled on a level road for 44 hours at an average speed 20 miles per hour faster than it trav

Mathematics

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P Answered by Master

ANSWER AT THE BOTTOM BELOW

StudenGPT

Read the sentence. Then, answer the question that follows. Success in math requires a student know the rudimentary facts; otherwise, they won t be able to complete more advanced problems. Which word from the sentence provides an antonym context clue to the meaning of rudimentary? Advanced Facts Math Success Question 32(Multiple Choice Worth 2 points) (01.05 MC) Morgan is writing a letter to neighbors about her babysitting skills and is using a thesaurus to find a synonym for showing an above average amount of responsibility. Which of the following

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P Answered by Studen AI

The answer to the first question "Which word from the sentence provides an antonym context clue to the meaning of rudimentary?" is "Advanced." In the sentence, it states that "Success in math requires a student know the rudimentary facts; otherwise, they won't be able to complete more advanced problems." The word "advanced" is used to describe problems beyond the level of rudimentary

Mathematics

Distance between 2 airports = 1,450 miles average speed of airplane = 350 mph travel time by bus after arrival at airport = 30 minutes total time travel = hours a. 4.44 b. 4.14 c. 4.64

Step-by-step answer

P Answered by Master

Firstly, there is an airplane flight.

1450 miles / 350mph = 4.14h

Secondly, there is a bus travel.

4.14h + 0.5h = 4.64h

The answer is C.

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

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