Observe the tables given below and in each one find whether x and y are proportional:

(i)

(ii)

(iii)

If x and y are directly proportional, find the value of x_1, x₂ and y₂ in the table given below:

If truck covers a distance of 510 km in 34 litres of diesel. How much distance would it cover in 20 litres of diesel?

A taxi charges a fare of Rs.2550 for journey of 150 km. How much would it charge for a journey of 124 km?

A loaded truck covers 16 km in 25 minutes. At the same speed, how far can it travel in 5 hours?

If 18 dolls cost Rs.630, how many dolls can be bought for Rs.455?

If 9 kg of sugar costs Rs. 238.50, how much sugar can be bought for Rs.371?

The cost of 15 metres of cloth is Rs.981. What length of this cloth can be purchased for Rs.1308?

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 15 m high. If

the length of the ship is 35 metres, how long is the model ship?

In 8 days, the earth picks up kg of dust from the atmosphere. How much dust will it pick up in 15 days?

A cars is travelling at the average speed of 50km/hr. How much distance would it travel in 1 hour 12 minutes?

Ravi walks at the uniform rate of 5 km/hr. What distance would he cover in 2 hours 24 minutes?

If the thickness of a pile of 12 cardboard is 65 mm, find the thickness of a pile of 312 such cardboards.

11 men can dig -metre-long trench in one day. How many men should be employed for digging 27-metre-long trench of the same type in one day?

Reenu type 540 words during half an hour. How many words would she type in 8 minutes?

Observe the tables given below and in each case find whether x and y are inversely proportional:

(i)

(ii)

(iii)

If x and y are inversely proportional, find the values of x₁, x₂, y₁ and y₂ in the table given below:

If 35 men can reap a field in 8 days, in how many days can 20 men reap the same field?

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

6 cows can graze a field in 28 days. How long would 14 cows take to graze the same field?

A car takes 5 hours to reach a destination by travelling at the speed of 60 km/hr. How long will it take when the car travels at the speed of 75 km/hr?

A factory required 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?

7 taps of the same size fill a tank in 1 hour 36 minutes. How long will 8 taps of the same size take to fill the tank?

8 taps of the same size fill a tank in 27 minutes. If two taps go out of order, how long would the remaining taps take to fill the tank?

A farmer has enough food to feed 28 animals in his cattle for 9 days. How long would the food last, if there were 8 more animals in his cattle?

A garrison of 900 men had provisions for 42 days. However, a reinforcement of 500 men arrived. For how many days will the food last now?

In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last?

A school has 9 periods a day each of 40 minutes duration. How long would each period be, if the school has 8 periods a day, assuming the number of school hours to be the same?

If x and y vary inversely and x = 15 when y = 6, find y when x = 9.

If x and y vary inversely and x = 18 when y = 8, find x when y = 16.

If 14 kg of pulses cost Rs.882, what is the cost of 22 kg of pulses?

If 8 orange cost Rs.52, how many oranges can be bought for Rs.169?

A machine fills 420 bottles in 3 hours. How many bottles will it fill in 5 hours?

A car is travelling at a uniform speed of 75 km/hr. How much distance will it cover in 20 minutes?

The weight of 12 sheets of a thick paper is 40 grams. How many sheets would weight 1 kg?

A pole 14 m high casts a shadow of 10 m. At the same time, what will be the height of a tree, the length of whose shadow is 7 metres?

A photograph of a bacteria enlarged 50000 times attains a length of 5 cm. The actual length of bacteria is

6 Pipes fill a tank in 120 minutes, then 5 pipes will fill it in

3 persons can build a wall in 4 days, then 4 persons can build it in

A car takes 2 hours to reach a destination by travelling at 60 km/hr. How long will it take while travelling at 80 km/hr?

350 boxes can be placed in 25 cartons. How many boxes can be placed in 16 cartons?

The cost of 140 tennis balls is Rs.4900. Find the cost of 2 dozen such balls.

The railway fare for 61 km is Rs.183. Find the fare fare for 53 km.

10 people can dig a trench in 6 days. How many people can dig it in 4 days?

30 men can finish a piece of work in 28 days. How many days will be taken by 21 men to finish.

A garrison of 200 men had provisions for 45 days. After 15 days, 40 more men join the garrison. Find the number of days for which the remaining food will last.

6 pipes can fill a tank in 24 minutes. One pipe can fill it in

14 workers can build a wall in 42 days. One worker can build it in

35 men can reap a field in 8 days. In how many days can 20 men reap it?

A car is travelling at an average speed of 60 km per hour. How much distance will it cover in 1 hour 12 minutes?

Rashmi types 510 words in half an hour. How many words would she type in 10 minutes?

x and y vary directly. When x = 3, then y = 36. What will be the value of x when y = 96?

x and y vary inversely. When x = 15, then y = 6. What will be the value of y when x = 9?

Fill in the blanks.

(i) If 3 persons can do a piece of work in 4 days, then 4 persons can do it in……days.

(ii) If 5 pipes can fill a tank in 144 minutes, then 6 pipes can fill it in ……minutes.

(iii) A car covers a certain distance in 1 hr 30 minutes at 60 km per hour. If it moves at 45 km per hour, it will take……hours.

(iv) If 8 oranges cost Rs. 20.80, the cost of 5 oranges is Rs……

(v) The weight of 12 sheets of paper is 50 grams. How many sheets will weigh 500 grams?