Algebra - math word problems - page 231 of 293
Number of problems found: 5844
- Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work?
- Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then, the first worker did the remaining work himself. In what proportion should the remuneration of the workers
- Bob and Bobek
Bobek runs from the hat at an average speed of 12 km/h at 10:20. At what time must Bob run out at a speed of 18 km/h to catch him 9 kilometers from the hat?
- 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
- On the farm
On the farm, 70 heads of cattle were housed with a food supply for 180 days. After 60 days, ten heads of cattle were sold, and for the next 30 days, they sold ten more. How many days is a sufficient supply of feed for the remaining cattle?
- Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line?
- Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23
- Temperature 81892
By how much °C will the temperature of an iron key weighing 0.004 t change if it receives 360,000 J of heat? ( c of iron is 450 J/kg.°C )
- 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
- Legislation 58863
To make a gold decorative item, we alloy 250g of 18-carat and 200g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation.
- Kilograms 31301
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram will be prepared. How many kilograms of each type of tea need to be mixed?
- Simultaneously 25191
A tourist who travels at a speed of 8 km in 2 hours and a cyclist who travels at a speed of 10 km in half an hour set off from two places 24 km apart simultaneously. How long are they on the road before they meet?
- Travels 20483
When and where will the two cars that drove at the same time from cities A and B 90 km apart if the car from city A travels at a speed of 75 km/h and the car from city B at a speed of 60 km/h meet?
- Neighboring 19293
Farmers had three harvesters at their disposal during the harvest, with which they would harvest the fields in 9 hours. How long will it take them if two more harvesters from the neighboring district come to help them?
- Roommates 17453
Classmates Tibor and Martin live in the same house. It takes Tibor 20 minutes to get to school, and Martin only 15 minutes. If Martin leaves the house 3 minutes later than Tibor, in how many minutes does he catch up with him?
- Three-eighths 7930
The bicycle race route rises for two-fifths of its length, descends for three-eighths, and is flat for the rest. If the length of the uphill section is 4 km longer than the length of the downhill section, how long is the race route? a) 160 km b) 100 km c)
- Minutes 7720
Miloš goes to school on roller skates at a speed of 18 km/h. The journey takes 15 minutes. What speed does he have to go if he wants to be at school 5 minutes earlier?
- Housekeeper 7695
At six o'clock, the housekeeper will start cutting his bow, which will take 12 hours. Two sons come to help him in an hour, and they will be together in 3 hours. How much would it take for just two sons to mow the bow?
- Tributaries 7630
The polder has two tributaries. A larger inflow will fill an empty polder in 12 hours. The polder is already a quarter full. If we open both tributaries, the polder will be filled in 6 hours. How long would it take for a smaller inflow to fill an empty po
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