Algebra - math word problems - page 242 of 303
Number of problems found: 6049
- Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin
- Scouts
The boys from the scout group traveled a distance of 140 km over d days. Every day, they walked less than the previous day. How many kilometers did the scouts walk on the first day?
- Pedestrian
A pedestrian came started at 7h in the morning with a speed of 3.2 km/h. At half-past eleven, the cyclist started at 30 km/h the same way. How long does the cyclist take to catch up with the pedestrian?
- Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le
- Airplane 81200
Two points are at a distance of 1840 km. An airplane departs from A at 7:00 a.m. and flies at an average speed of 50 km/h faster than another airplane departs from B at 8:00 a.m. At what distance from A do they meet at 9:00?
- Double-digit 80970
Eva thought of two natural numbers. She first added these correctly, then subtracted them correctly. In both cases, she got a double-digit result. The product of the resulting two-digit numbers was 645. Which numbers did Eva think of? Please, what is this
- Woodcutter 39491
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together.
- Saleswoman 37041
The saleswoman mixed two types of candies into the cone. Half a kilo of fruit at 90 CZK per kilogram and 400 g of nut at 117 CZK per kilogram. How many crowns will 1 kg of this mixture cost?
- Continued 7310
In one workshop, they will do the given work in 15 days; in another workshop, where more members work, they will do the given work in 10 days. After three days of joint work, only the larger workshop continued the assigned work. In how many days will he f
- Simultaneously 6272
The first inflow fills the tank in 4 hours and the second tributary in 6 hours. How long will it take to fill both tributaries simultaneously, but the species will start an hour later?
- Smaller 4657
Two supply pipes open into the pool, and the smaller pipe fills the pool in 40 hours. The empty pool will be filled in 16 hours if we open both supply pipes. How long would it take to fill if only the second, larger inlet pipe was opened?
- Motorcycle's 4492
Find the motorcycle's acceleration, which will cover a distance of 64 meters in 8 seconds if it is at rest at the beginning.
- Temperature 4474
Mom is going to wash by hand in water that should be at 40°C. The tub already has 10 liters of water at a temperature of 12.3°C and can still hold 5 liters. What temperature should the water be allowed to be?
- Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city?
- Merchant 6730
A merchant sells a blend of tea. Kilogram for 450 CZK. Another species for 900 CZK. Cheaper for 369 CZK. How much tea must you buy per 5 kg of the mix?
- Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today?
- Three-digit 67824
The numbers 1,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the nu
- Three-digit 65624
Pablo has five cards with numbers 0, 1, 6, 7, and 9. How many odd three-digit numbers can he form?
- Expression 3801
What is the value of x in the expression 8^x = 1/64
- Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t
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