#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

Chapter 14: Lines and Angles (Including Construction of angles)

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

## Chapter 7: Unitary Method (Including Time and Work)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 7 Unitary Method (Including Time and Work) Exercise 7 (A)

Weight of 8 identical articles is 4.8 kg. What is the weight of 11 such articles?

6 books weigh 1 .260 kg. How many books will weigh 3.150 kg ?

8 men complete work in 6 hours. In how many hours will 12 men complete the same work?

If a 25 cm long candle burns for 45 minutes, how long will another candle of the same material and same thickness but 5 cm longer than the previous one, burn?

A typist takes 80 minutes to type 24 pages. How long will he take to type 87 pages?

Rs. 750 support a family for 15 days. For how many days will Rs. 2,500 support the same family?

400 men have provisions for 23 weeks. They are joined by 60 men. How long will the provisions last?

200 men have provisions for 30 days. If 50 men left, the same provisions would last for the remaining men, in how many days?

8 men can finish a certain amount of provisions in 40 days. If 2 more men join with them, find for how many days the same amount of provisions be sufficient ?

If interest on Rs. 200 be Rs. 25 in a certain time, what will be the interest on Rs 750 for the same time?

If 3 dozen eggs cost Rs. 90, find the cost of 3 scores of eggs. (1 score = 20)

If the fare for 48 km is Rs. 288, what will be the fare for 36 km?

What will be the cost of 3.20 kg of an item, if 3 kg of it costs Rs. 360?

If 9 lines of a print, in a column of a book contains 36 words. How many words will a column of 51 lines contain?

125 pupil have food sufficient for 18 days. If 25 more pupil join them, how long will the food last now ? What assumption have you made to come to your answer ?

A carpenter prepares a new chair in 3 days, working 8 hours a day. Atleast how many hours per day must he work in order to make the same chair in 4 days?

A man earns ₹5,800 in 10 days. How much will he earn in the month of February of a leap year?

A machine is used for making rubber balls and makes 500 balls in 30 minutes. How many balls will it make in 3 1/2 hours?

In a school’s hostel mess, 20 children consume a certain quantity of ration in 6 days. However, 5 children did not return to the hostel after holidays. How long will the same amount of ration last now?

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 7 Unitary Method (Including Time and Work) Exercise 7 (B)

The cost of `3/5` kg of ghee is ₹ 96; find the cost of:

(i) one kg ghee

(ii) `5/8` kg ghee

`3 1/2` m of cloth costs Rs. 168; find the cost of `4 1/3` of the same cloth.

A wrist watch loses 10 sec in every 8 hours; in how much time will it lose 15 sec.?

In 2 days and 20 hours, a watch gains 20 sec ; find how much time will the watch take to gain 35 sec.?

50 men mow 32 hectares of land in 3 days. How many days will 15 men take to mow it?

The wages of 10 workers for a six days week are Rs, 1,200. What are the one day wages:

(i) of one worker?

(ii) of 4 workers?

If 32 apples weigh 2 kg 800 g. How many apples will there be in a box, containing 35 kg of apples?

A truck uses 20 litres of diesel for 240 km. How many litres will be needed for 1200 km?

A garrison of 1200 men has provisions for 15 days. How long will the provisions last if the garrison be increased by 600 men?

A camp has provisions for 60 pupil for 18 days. In how many days, the same provisions will finish off if the strength of the camp is increased to 72 pupil?

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 7 Unitary Method (Including Time and Work) Exercise 7 (C)

A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to complete it together?

A and B working together can do a piece of work in 10 days B alone can do the same work in 15 days. How long will A alone take to do the same work?

A can do a piece of work in 4 days and B can do the same work in 5 days. Find, how much work can be done by them working together in:

(i) one day

(ii) 2 days. What part of work will be left, after they have worked together for 2 days?

A and B take 6 hours and 9 hours respectively to complete a work. A works for 1 hour and then B works for two hours.

(i) How much work is done in these 3 hours?

(ii) How much work is still left?

A, B and C can do a piece of work in 12, 15 and 20 days respectively. How long will they take to do it working together?

Two taps can fill a cistern in 10 hours and 8 hours respectively. A third tap can empty it in 15 hours. How long will it take to fill the empty cistern, if all of them are opened together?

Mohit can complete a work in 50 days, whereas Anuj can complete the same work in 40 days. Find:

(i) work done by Mohit in 20 days.

(ii) work left after Mohit has worked on it for 20 days.

(iii) time taken by Anuj to complete the remaining work.

Joseph and Peter can complete a work in 20 hours and 25 hours respectively. Find :

(i) work done by both together in 4 hrs.

(ii) work left after both worked together for 4 hrs.

(iii) time taken by Peter to complete the remaining work.

A is able to complete `1/3` of a certain work in 10 hrs and B is able to complete `2/5` of the same work in 12 hrs. Find:

(i) how much work can A do in 1 hour ?

(ii) how much work can B do in 1 hour ?

(iii) in how much time will the work be completed, if both work together.

Shaheed can prepare one wooden chair in 3 days and Shaif can prepare the same chair in 4 days. If they work together, in how many days will they prepare:

(i) one chair?

(ii)14 chairs of the same kind?

A, B and C together finish a work in 4 days. If A alone can finish the same work in 8 days and B in 12 days, find how long will C take to finish the work.

## Chapter 7: Unitary Method (Including Time and Work)

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 7 - Unitary Method (Including Time and Work)

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 7 Unitary Method (Including Time and Work) are Concept of Unitary Method (Including Time and Work), Unitary Method Continued, Consolidation, General Expression for Unitary Method ., Relation Between Speed, Time and Distance.

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