time and work alternate days problems pdf

Time And Work Alternate Days Problems Pdf

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In this section, you will learn how to solve time and work problems using least common multiple. Let us look at the steps involved in solving time and work problems using least common multiple.

Step 1 :. Step 2 :. Least common multiple found in step 1 is considered as total amount of work to be completed.

Step 3 :. Use the formula given below to solve the problem. Further process from step 3 will be depending upon the situation given in the problem. It has been explained clearly in the examples given below. Example 1 :. A can do a piece of work in 8 days. B can do the same in 14 days. In how many days can the work be completed if A and B work together?

Solution :. Let us find LCM for the given no. Therefore, the total work is 56 units. So, no. Example 2 :. M of 12, 21 is Therefore, the total work is 84 units.

A and B together can do a piece of work in days. B and C can do it in 99 days. M of , 99, 90 is Therefore, the total work is units. Therefore B can do 4 units per day. So, the number of days taken by B to complete the work is. A and B can do a work in 15 days. B and C can do it in 30 days. They all work together for 9 days and then A left. In how many days can B and C finish remaining work? M of 15, 30, 18 is 90 units. Therefore, the total work is 90 units.

A, B and C all work together for 9 days. Remaining work to be completed by B and C is. A and B each working alone can do a work in 20 days and 15 days respectively. They started the work together, but B left after sometime and A finished the remaining work in 6 days. After how many days from the start, did B leave? M of 20, 15 is 60 units. Therefore, the total work is 60 units.

The work done by A alone in 6 days is. So, initially no. A is 3 times as fast as B and is able to complete the work in 30 days less than B.

A and B working capability ratio is 3 : 1. Then, A and B time taken ratio is 1 : 3. From the ratio,. Given : A takes 30 days less than B. Then, we have. LCM 15, 45 is Total work is 45 units. They work on alternate days starting with A on the first day. In how many days will the work be completed? Let us find LCM of the given no. LCM of 10, 8 is Total work is 40 units. On the first two days,. A can do 4 units on the first day and B can do 5 units on the second day.

Because they are working on alternate days. Total units completed in the 1st day and 2nd day is. Total units completed in the 3rd day and 4th day is. Total units completed in the 5th day and 6th day is. Total units completed in the 7th day and 8th day is. That is, in 8 days 36 units of the work completed.

Remaining work is. These units will be completed by A on the 9th day. So, the work will be completed in 9 days. Two pipes A and B can fill a tank in 16 minutes and 20 minutes respectively.

LCM of 16, 20 is Total work is 80 units. Pipe A can fill a tank in 10 minutes. Pipe B can fill the same tank in 6 minutes. Pipe C can empty the tank in 12 minutes. If all of them work together, find the time taken to fill the empty tank. LCM of 10, 6, 12 is Total work is 60 units.

If all of them work together,. If all of them work together, time taken to fill the empty tank is. A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely? LCM of 10, 6 is Total work is 30 units to fill the empty tank.

Already tank is two-fifth full. So, the work completed already is. Out of 30 units, now the tank is 12 units full. If both the pipes are open, the tank will be emptied in. The t ank is already two-fifth full 12 units. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. If you have any feedback about our math content, please mail us :. We always appreciate your feedback. You can also visit the following web pages on different stuff in math.

Variables and constants. Writing and evaluating expressions. Solving linear equations using elimination method. Solving linear equations using substitution method.

Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring. Solving quadratic equations by quadratic formula. Solving quadratic equations by completing square.

Download Time And Work Alternate Days Problems Pdf

Solved examples with detailed answer description, explanation are given and it would be easy to understand. Here you can find objective type Aptitude Time and Work questions and answers for interview and entrance examination. Multiple choice and true or false type questions are also provided. You can easily solve all kind of Aptitude questions based on Time and Work by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Time and Work problems. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days.

A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in :. A sum of money is sufficient to pay As wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for :. A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone.

In this section, you will learn how to solve time and work problems using least common multiple. Let us look at the steps involved in solving time and work problems using least common multiple. Step 1 :. Step 2 :. Least common multiple found in step 1 is considered as total amount of work to be completed.


You can solve this problem using LCM method: Just take LCM of days in which A and B They work on alternate days, starting with A on the first day. So B starts to work and time taken by B to complete the work is (% of work left/%of work.


Time and Work Shortcut Method – Solve Time and Work Problems Faster Now!

Even not, then comment for explanation for this. We will be happy to help you. In this type of question, where we have one person work and together work done. Then we can easily get the other person work just by subtracting them. Please note in this question, we need to answer part of work for a day rather than complete work.

Time and Work Concepts for CAT Questions [LCM Method]

Problems based on time and work which are asked in CAT can easily be solved by applying an alternate concept which is the method of LCM.

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These Time and Work shortcut methods will help you solve the Time and work problems as fast as possible thus saving your overall time which you can invest to focus on the other sections of the paper. Try to directly remember fraction conversion into percentage. Check some examples given in the table below. Anil can do a job in 10 days. Babu can do the same job in 5 days. In how many days they can complete the job if they work together?

Download time and work alternate days problems pdf. Rule 4: If A is twice as good a workman as B, then A will take half of the time taken by B to complete a piece of work. Candidates can download it and use it for your preparation. How to solve Time and work questions? If they work on alternate days beginning with A, in how many days will the work be completed. If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys to do the same type of work will be: a 5 days. So, A and B can together can complete the work in 6 days.

Господи Иисусе! - подумал Бринкерхофф.  - Мидж снова оказалась права. - Идиот! - в сердцах воскликнула.  - Ты только посмотри. Сквозь строй дважды отверг этот файл.

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Сьюзан знала, что где-то на дне этого погруженного в туман подземелья есть рубильник. Кроме того, она понимала, что времени почти не оставалось. Стратмор сидел наверху с береттой в руке. Он перечитал свою записку и положил на пол возле. То, что он собирался сделать, несомненно, было проявлением малодушия. Я умею добиваться своей цели, - подумал .

Банк данных снова был в безопасности. В комнате творилось нечто невообразимое. Техники обнимали друг друга, подбрасывая вверх длинные полосы распечаток. Бринкерхофф обнимал Мидж. Соши заливалась слезами.

Прошло еще несколько минут. Она пыталась не думать о Дэвиде, но безуспешно. С каждым завыванием сирены слова Хейла эхом отдавались в ее мозгу: Я сожалею о Дэвиде Беккере. Сьюзан казалось, что она сходит с ума. Она уже готова была выскочить из комнаты, когда Стратмор наконец повернул рубильник и вырубил электропитание.

Разница между ураном и плутонием. Ответа не последовало. Сьюзан повернулась к Соши.

Беккер поднял. Дверцы автобуса открылись, но из него никто не вышел. Дизельный двигатель взревел, набирая обороты, и в тот момент, когда автобус уже готов был тронуться, из соседнего бара выскочили трое молодых людей.

Ясно, подумал Беккер с улыбкой. Канадский француз. - Пожалуйста, уделите мне одну минуту. Беккер отлично говорил по-французски, тем не менее обратился к этому человеку на языке, который тот, как он надеялся, должен был знать хуже. Убедить абсолютно незнакомого человека отдать вам золотое кольцо скорее всего будет весьма непросто, поэтому Беккер хотел заручиться хотя бы одним преимуществом.

Второй - молодой темноволосый, в окровавленной рубашке. - Халохот - тот, что слева, - пояснил Смит. - Он мертв? - спросил директор. - Да, сэр.

 - Беккер взял подушку с соседней койки и помог Клушару устроиться поудобнее. Старик умиротворенно вздохнул. - Так гораздо лучше… спасибо. - Pas du tout, - отозвался Беккер.

Aptitude - Time and Work

В тридцати метрах впереди продолжалось святое причастие. Падре Херрера, главный носитель чаши, с любопытством посмотрел на одну из скамей в центре, где начался непонятный переполох, но вообще-то это его мало занимало. Иногда кому-то из стариков, которых посетил Святой Дух, становилось плохо.

А в довершение всего - Цифровая крепость, величайшая опасность, нависшая над разведывательной службой. И со всем этим ему приходится справляться в одиночку. Стоит ли удивляться, что он находится на грани срыва?. - С учетом обстоятельств, я полагаю, - сказала Сьюзан, - вам все же нужно позвонить директору. Стратмор покачал головой, и капля пота с его лба упала на стол.

 Пойдемте, - позвал Бринкерхофф, помогая Сьюзан вылезти. Она шла следом за ним точно в тумане. Коридор, выложенный кафельными плитками, довольно круто спускался вниз, и Сьюзан держалась за перила, стараясь не отставать.

2 comments

Curtis L.

A and B alone can do a piece of wok in 8 and 18 days respectively. In how many days the work will be completed if they both work on alternate.

REPLY

Miren P.

So that you can easily get the logic of question.

REPLY

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