Direct and Inverse Proportions

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

• 305 km

• 300 km

• 350 km

• 200 km

Following are the car parking charges near a railway station up to.

4 hours – Rs.60,

8 hours – Rs.100,

12 hours – Rs.140,

24 hours – Rs.180.

Check if the parking charges are in direct proportions to the parking time.

• Yes, the parking charges are in direct proportions

• No, the parking charges are not in direct proportions

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

• 200

• 800

• 700

• 940

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?

• 20

• 25

• 55

• 30

What is the constant of proportionality?

• $3

• $4

• $2

• $9

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?

• 7

• 9

• 11

• 5

If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is decreased by 4?

• 5

• 6

• 12

• 17

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

• 9

• 10

• 13

• 30

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?

• 1 hr 20 min

• 2 hr 24 min

• 3 hr 35 min

• 1 hr 24 min

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

• 23 m

• 41 m

• 21 m

• 47 m