Physical quantities - math word problems - page 244 of 298

Number of problems found: 5952

Clock angle
Calculate the magnitude of the angle formed by the lines p and q, which connect 1, 6 (line p), and 5, 8 (line q) on the clock face.
Boat in the lake
A boatman walks along the ship's deck at a constant speed of 5 km/h in a direction that forms an angle of 60° with the direction of the ship's speed. The boat moves with respect to the lake's calm surface at a constant speed of 10 km/h. Determine graphica
Collision of a Ball with a Cart
A cart filled with sand has a mass of m₁ = 100 kg and moves in a straight line on a horizontal surface at a constant velocity of v₁ = 1 m/s. Coming from the opposite direction, a ball of mass m₂ = 2 kg flies at v₂ = 70 m/s, strikes the cart, and embeds it
Cyclist 30
A cyclist covered a distance of 18 km in 32 minutes at a constant speed. What distance in kilometres would he have covered at the same speed in 80 minutes?
Family visit count
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice.
Checkouts
When 4 checkouts are open in a supermarket, customers wait in line for an average of 12 minutes. By how many minutes does the waiting time increase when one checkout is closed?
Savings bank interest
On March 24, we deposited €5,400 into the savings bank. How much interest will we earn until the end of the year, when the savings bank provides 4.2% interest on this type of deposit?
Vinegar acetic acid
Kitchen vinegar is an 8% solution of acetic acid in water. How many liters of acetic acid are needed to produce 275 liters of vinegar?
Loan interest payment
You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum?
Gear wheel rotation
Two gears mesh together. The larger wheel has 56 teeth, and the smaller wheel has 20 teeth. How many times does the smaller wheel turn if the larger wheel turns 15 times?
Dye water proportion
Pour 9 dl of dye into 100 liters of water. What will be the proportion of dye in the resulting mixture? Express as a percentage.
Paris Bern scale
Find the map's scale, on which a line segment of 15 cm expresses the actual distance of 435 km between Paris and Bern.
Car fuel
Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using a 1/2 tank of gas? Enter your answer as a mixed number in the simplest form in the box.
A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities?
Milk cream mixture
I want to turn to help with the following example. How do I reach an 8% solution? I need to mix 3.5% milk with 33% cream. Thank you for being so helpful.
Two cities
On a map, 1.5 cm represents 50 miles. If the distance between the two cities on the map is 6 cm, how many miles separate the towns?
Mr. Brown
Mr. Brown invested 15,000 euros in the bank for an annual term deposit. After the first year, he gained 600 euros. What was the annual interest rate of his deposit?
Bronze alloy
Bronze is an alloy of tin and copper. Copper is 85% the rest is tin. How much bronze do we make from 51 kg of copper? Will 8 kg of tin be enough for us?
Shoemaker
Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for six days and repaired ten pairs of shoes daily. The shoemaker did the same job for four days. How many pairs of shoes did the shoemaker repair per day?
Bank Deposit Annual Interest
Mr. Smith deposited CZK 50,000 a year in the bank at an annual interest rate of 4%. How much will pre-tax interest be after one year?

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