SSS2 Math Quiz 19.2 – Arithmetic progressions

If 6 workers can complete a task in 4 hours, how long will it take 3 workers to complete the same task, assuming they work at the same rate?

If a car travels at 60 mph and takes 3 hours to reach its destination, how long will it take to cover the same distance at a speed of 40 mph?

If 5 pipes can fill a tank in 2 hours, how long will it take 10 pipes to fill the same tank?

If the pressure of a gas is inversely proportional to its volume, and the pressure is 12 units when the volume is 3 liters, find the pressure when the volume is 4 liters.

If y is inversely proportional to x, and y = 8 when x = 3, find the value of y when x = 6.

If it takes 10 machines 5 days to complete a job, how many days will it take 2 machines to complete the same job?

The time taken to complete a journey is inversely proportional to the speed. If a car takes 4 hours to complete a journey at a speed of 60 km/h, how long will it take at a speed of 80 km/h?

If the intensity of light is inversely proportional to the square of the distance from the source, and the intensity is 9 units at a distance of 2 meters, find the intensity at a distance of 3 meters.

If a ∝ 1/b and a = 4 when b = 2, find the relationship between a and b. Find a when b = 8.

If x is inversely proportional to the square root of y, and x = 3 when y = 4, find the value of x when y = 9.

If 8 men can do a piece of work in 12 days, in how many days will 6 men do it?

If the number of days to complete a work varies inversely as the number of men working, and 10 men can finish a work in 15 days, in how many days will 25 men finish the same work?

6 pumps are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pumps of the same type are used?

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The remaining food will last for how many days?

If 30 men can reap a field in 17 days, in how many days can 15 men reap the same field?

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

120 men had food provisions for 200 days. After 5 days, 30 men died due to an epidemic. How long will the remaining food last?

If x varies inversely as the cube of y, and x = 3 when y = 2, find x when y = 3.

If m is inversely proportional to n², and m = 4 when n = 3, find the value of m when n = 2.

The time taken to cover a certain distance is inversely proportional to the speed. If it takes 5 hours to cover a distance at 40 km/h, how long will it take to cover the same distance at 50 km/h?