Direct and Inverse Proportions Class 8 Worksheets

# Direct and Inverse Proportions Class 8 Worksheets

Direct and Inverse Proportions Class 8 Worksheets play a vital role in strengthening the maths concepts.

## Direct and Inverse Proportions Class 8 Worksheet 1 with Answers

1. A and B together finishes a work in 20 days. They work at it for 10 days, then A left. If the remaining work was done by B alone in 15 days, in how many days can B alone finish the whole work?

2. A cistern can be filled by a tap in 18 minutes and emptied by an outlet in 24 minutes. How long will it take to fill the cistern, if both the tap and outlet are opened together?

3. If 10 men bind 600 books in 8 days, then in how many days will 16 men bind 440 books?

4. If 15 men working together can finish a work in 84 days, then in how many days will 12 men finish the same work?

5. The ratio of men to women in the party was 4 : 1. If there were 20 women, then find the number of people at the party.

6. A can do a piece of work in 15 days and B can do it in 10 days. Together they work for 5 days and B left. How long will A alone finish the remaining work?

7. The cost of transporting 1500 kg wheat for 120 km is  800. What will be the cost of transporting 1200 kg of wheat for 80 km?

8. 5 bags of rice weigh 250 kg. What is the weight of 14 such bags?

9. A mess in a hostel has enough food for 100 students for 30 days. How long will the food last if 50 more students join them?

10. Mayank takes 6 hours to type 30 pages while Nisha takes 4 hours to type 42 pages. How much time will they take together to type 124 pages?

11. Two taps A and B can fill a cistern in 12 minutes and 15 minutes respectively. Both the taps are opened together but after 5 minutes tap A is closed. Find the total time required to fill the cistern.

12.   x is divided among Raju, Ritu and Joya in the ratio 2 : 3 : 4 respectively. If Joya gets  20 more than Raju, then find the share of each of them.

13. A train crosses a tunnel which is 120 m long in 18 seconds and a man sitting at the platform in 8 seconds. At what speed the train is running?

14. A car runs at a speed of 48 km/h and covers a certain distance in 2 h 40 min. Find the speed at which the train must travel to reduce the time of the journey to 2 hours.

15. How long will a train 160 m long take to cross a pole if it is running at a speed of 60 km/h?

16. A train running at a speed of 54 km/h crosses a bridge which is 260 m long in 30 seconds. Find the length of the train.

## Direct and Inverse Proportions Class 8 Worksheet 2 with Answers

1. Manisha has enough money to send 14 parcels each weighing 500 grams. Find the weight of each parcel, if she can send 20 parcels for the same money.

2. Nitesh completes cleaning of the house in 6 hours. What part of the house will he clean in 4 hours?

3. A school librarian has enough money to order 10 paperback books at  7.50 per paperback book. If he decides to order hard core books at  15 per book instead of paperback books, how many books can he buy?

4. 12 persons can dig 324 cubic metres earth in a day. How many persons will be required to dig 270 cubic metres earth?

5. On a birthday party, an average of 5 bottles of cold drinks are served among a group of 6 children. How many friends were present at Nilu’s birthday party if 15 bottles of cold drinks were used in the party.

6. An aeroplane flies 4535 km in 5 hours 30 minutes. How long will it take to fly a distance of 2310 km?

7. If the sum of  11205 is divided in the ratio 4 : 5 among Raj and Priya, then what is the share of each of them?

8. The ratio of three sides of a triangle is 2 : 3 : 5. If the perimeter of the triangle is 40 cm, then find the measure of the smallest side.

9. A and B can do a piece of work in 10 days, B and C can do it in 15 days and C and A can do it in 12 days.

a. In how many days will A, B and C finish it working together?

b. In how many days will each of them take to finish it working alone?

10. Rohan had enough money to buy 15 notebooks each containing 280 pages. How many pages will each notebook contain, if he buys 10 notebooks with the same money?

11. The ratio of three numbers is 5 : 3 : 1. If their product is 7680, then find the numbers.

12. The ages of Pramod, Anuj and Pallavi are in the ratio 7 : 5 : 3. If the age of Anuj is 15 years, then find the ages of Pramod and Pallavi.

13. Due to festive season, the price of a washing machine is decreased in the ratio 9 : 7. If the original price was  11304, then find the new price.

14. Ria bought bananas, oranges and apples. The ratio of bananas to oranges was 3 : 1 and the ratio of oranges to apples was 2 : 5. If she bought 18 bananas, how many apples and oranges did she buy?

15. The price of a TV and a microwave are in the ratio of 5 : 3. If the difference of their cost is  6,000, then find the price of a TV and a microwave.

16. A car travels 80 km in 4 hours. Find the distance covered by the car in 5 hours.

## Direct and Inverse Proportions Class 8 Worksheet 3 with Answers

1. A farmer has enough food to feed 20 animals at his farm for 6 days. How long will the food last, if there were 10 more animals at his farm?

2. A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time

a. the length of the shadow cast by another pole 10 m 50 cm high.

b. the height of the pole which casts a shadow 5 m long.

3. Two trains 50 m and 110 m long are running at a speed of 36 km/h and 54 km/h respectively in opposite directions approaching the same railway station. How long would it take them to pass each other?

4. Hemant travelled the first 2 hours of his journey at 40 km/h and the remaining 3 hours of his journey at 80 km/h. What is his average speed for the entire journey?

5. The speed of a boat in still water is 10 km/h. It can travel 20 km downstream and in the same time it can travel 12 km upstream. What is the speed of the water current?

6. Heena travelled 36 km at a speed of 8 km/h and Dilip travelled 48 km at a speed of 10 km/h. Whose journey was quickest?

7. A car covers a distance of 60 km at a speed of 80 km/h and another car covers a distance of 125 km at a speed of 75 km/h. Find the average speed of the car for the whole journey.

8. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream it takes 4 hours. What is the speed of the boat in still water?

9. Aman walks at a speed of 3 km/h to catch the school bus and he missed the bus by 6 minutes. If he walks at a speed of 5 km/h, he reaches the bus stop 10 minutes before. Find the distance between his house and the bus stop.

10. A train left a station towards its destination at a speed of 60 km/h. After a few hours, another train left the same station travelling in the opposite direction of the first train at the speed of 80 km/h. After the first train had travelled for 20 hours, it was 2000 km apart from the second train. After how many hours of the first train, the second train started travelling?

11. A train starts from A at 6:00 a.m. and travels towards B at a speed of 50 km/h. Another train starts from A at 8:00 a.m. and travels towards B at a speed of 70 km/h. At what time will it catch the slower train?

12. The speed of a boat in still water is 4.5 km/h and the speed of the stream is 3 km/h. The boat is rowed upstream for a certain distance and then rowed back to the starting point. Find the average speed of the boat for the whole journey.

13. If the cost of 8 kg of tomatoes is  88, find

a. the weight of tomatoes bought for  60.50.

b. the cost of 17 kg of tomatoes.

14. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours is same?

15. How much time will a train 178 m long running at a speed of 36 km/h, take to pass 162 m long tunnel?

16. Find the least number which must be subtracted from each of the numbers 3, 1, 5 and 4 so that the new numbers may be proportional.

Worksheet 1

1. 30 days         2. 72 minutes

3. 32/3 days      4. 105 days

5. 100 people   6. 21/2 days

7. ₹ 426.67       8. 700 kg

9. 20 days         10. 8 hours

11. 83/4 days

12. ₹ 20, ₹ 30, ₹ 40

13. 43.2 km/h

14. 64 km/h

15. 9.6 sec

16. 190 m

Worksheet 2

1. 350 grams      2. 2/3

3. 5 books          4. 10 persons

5. 18 friends      6. 2.8 hours

7. ₹ 4980, ₹ 6225

8. 8 cm

9. a. 8 days

b. 171/7 days, 24 days, 40 days

10. 420 pages

11. 40, 24, 8

12. 21 years; 9 years

13. ₹ 8792

14. 15 apples, 6 oranges

15. ₹ 15,000; ₹ 9000

16. 100 km

Worksheet 3

1. 4 days

2. a. 6 m         b. 8 m 75 cm

3. 6.4 sec        4. 64 km/h

5. 2.5 km/h     6. Heena

7. 76.55 km/h

8. 6 km/h         9. 2 km

10. 10 hours    11. 1 p.m.

12. 2.5 km/h

13. a. 5.5 kg      b. ₹ 187

14. 40 minutes

15. 34 seconds

16. 7

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