Real-World Integration: Solving Basic Word Problems

A car travels at a constant speed of 60 km/h. How far does it travel in 2 hours? Use integration to find the distance.

• 100 km

• 150 km

• 90 km

• 120 km

A tank is being filled with water at a rate of 5 liters per minute. How much water is in the tank after 30 minutes?

• 200 liters

• 150 liters

• 75 liters

• 100 liters

A farmer is planting trees in a straight line. If he plants 3 trees per meter, how many trees will he plant in 100 meters?

• 150

• 250

• 400

• 300

A cyclist rides at a speed of 15 km/h. How far does he travel in 1.5 hours? Use integration to calculate the distance.

• 22.5 km

• 15 km

• 30 km

• 10 km

A company produces 200 units of a product per day. How many units will they produce in a week? Use integration to find the total production.

• 1400 units

• 1600 units

• 1800 units

• 1200 units

A water tank is being drained at a rate of 10 liters per minute. How much water is left in the tank after 20 minutes if it started with 500 liters?

• 250 liters

• 400 liters

• 150 liters

• 300 liters

A runner jogs at a speed of 8 km/h. How far does he run in 45 minutes? Use integration to determine the distance.

• 6 km

• 8 km

• 10 km

• 4 km

A factory operates 8 hours a day and produces 50 items per hour. How many items does it produce in a week? Use integration to find the total output.

• 2800 items

• 2400 items

• 3200 items

• 1500 items

A river flows at a rate of 100 cubic meters per second. How much water flows in 10 minutes? Use integration to calculate the total volume of water.

• 120000 cubic meters

• 50000 cubic meters

• 30000 cubic meters

• 60000 cubic meters

A painter can paint 20 square meters per hour. How much area can he cover in 4 hours? Use integration to find the total area painted.

• 100 square meters

• 80 square meters

• 60 square meters

• 40 square meters