Math, asked by montoyadomenic, 6 months ago

A hyena can run 1/4 of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)

a
one-fourth mile over twenty-two point five seconds = 40 miles per hour

b
twenty-two point five seconds over one-fourth mile = 40 miles per hour

c
one-fourth mile over twenty-two point five seconds = 90 miles per hour

d
twenty-two point five seconds over one-fourth mile = 90 miles per hour

Answers

Answered by Anonymous
4

Answer:

Problems on Time and Work :

Aaron alone can finish a piece of work in 12 days and Brandon alone can do it in 15 days. ...

A and B together can do a piece of work in 15 days, while B alone can finish it 20 days. ...

A can do a piece of work in 25 days and B can finish it in 20 days.

Step-by-step explanation:

Time and Work is one of the most common quantitative aptitude topics which is asked in the Government exams. This is one of those topics which candidates are familiar with even before they start their competitive exam preparation.

Time and Work – Introduction and Concept

Before we move on to the questions and important formulas, it is important that a candidate is well aware of the concept and the types of questions which may be asked in the exam.

Time and work deals with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.

Time and Work - Quantitative Aptitude for Government Exams

Given below are the basic type of questions which may be asked in the exam with respect to the time and work topic:

To find the efficiency of a person

To find the time taken by an individual to do a piece of work

To find the time taken by a group of individuals to complete a piece of work

Work done by an individual in a certain time duration

Work done by a group of individuals in a certain time duration

Mostly the questions asked may involve one of these things to found and candidates can use the related formulas to easily get through the answers for the same.

Few other quantitative aptitude related links have been given below. It is suggested that candidates go through each of these topics carefully to excel in the upcoming Government exams:

Problems on Age Approximation and Simplification Number Series

Boat and Stream Shortcut Tricks for Cube, Square and Multiplication Maths Tricks for Competitive ExamsSwipe left

Important Time and Work Formula

Knowing the formulas can completely link you to a solution as soon as you read the question. Thus knowing the formula for any numerical ability topic make the solution and the related calculations simpler.

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Wok Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men which are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

If x number of people can do W1 work, in D1 days, working T1 hours each day and the number of people can do W2 work, in D2 days, working T2 hours each day, then the relation between them will be

Time and Work Formula

Time & Work – Sample Questions

All the hard work can go in vain if the candidate does not solve questions based on time and work on a regular basis and try using the different formulas to crack the solution for each question in an even shorter time span.

So, discussed below are a few time and work questions to give an idea as to what type of questions are asked in the competitive exam and what format and pattern is used for the same.

Q 4. Time taken by A to finish a piece of work is twice the time taken B and thrice the time taken by C. If all three of them work together, it takes them 2 days to complete the entire work. How much work was done by B alone?

2 days

6 days

3 days

5 days

Cannot be determined

Answer: (2) 6 days

Solution:

Time taken by A = x days

Time taken by B = x/2 days

Time Taken by C = x/3 days

⇒ {(1/x) + (2/x) + (3/x) = 1/2

⇒ 6/x = 1/2

⇒ x = 12

Time taken by B = x/2 = 12/2 = 6 days

Q 5. Sonal and Preeti started working on a project and they can complete the project in 30 days. Sonal worked for 16 days and Preeti completed the remaining work in 44 days. How many days would Preeti have taken to complete the entire project all by herself?

20 days

25 days

55 days

46 days

60 days

Answer: (5) 60 days

Solution:

Let the work done by Sonal in 1 day be x

Let the work done by Preeti in 1 day be y

Then, x+y = 1/30 ——— (1)

⇒ 16x + 44y = 1 ——— (2)

Solving equation (1) and (2),

x = 1/60

y = 1/60

Thus, Preeti can complete the entire work in 60 days

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Attachments:
Answered by Anonymous
5

Answer:

answer is option a

Step-by-step explanation:

that is speed =distance/time

=(1/4)/22.5=40 miles/hr

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