Algebra - math word problems - page 249 of 303
Number of problems found: 6048
- Coefficient 80514
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum
- Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last?
- Apprentices 30051
Four apprentices worked on a glove order for 20 days. How long would it take for eight apprentices to complete the contract in the same job?
- Kilometers 7161
Peter cycled 24 kilometers on the weekend, twice as many on Saturday and Sunday. Thus, he cycled 24 kilometers more on Saturday than on Sunday.
- Complete 4849
The first sluice empties a complete pond in 45 days. If 2/3 of the pond is drained in 15 days, a second sluice is still needed for ten days. How many days would it empty itself through just the second sluice?
- Harvesters 4498
The first combine harvester will harvest the fields in 12 hours, and the second combine harvester in 8 hours. How long does it take for the same harvester to harvest the 3rd combine if all three harvesters harvest together in 2 hours?
- Average 4491
The tourist came out at 6:00 at an average speed of 4 km/h. In 2 hours, a cyclist set off on the same route at an average of 28 km/h. When did the cyclist catch the tourist?
- Eight-tenths 4453
How far is it from Prague to Mladá Boleslav when 40 km is eight-tenths of this distance?
- Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir.
- Buses A and B
Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves Worcester at 10:00 along the same route at 70 km/h. At what time will bus B pass bus A?
- Relative motion
The boat moves along the river at a speed of v1 = 5km/h and upstream v2 = 2km/h What is the current P's and boat L's speed relative to the water?
- Last wagon
A 200 m long train passes through the 700 m long tunnel so that a time of 1 minute elapses from the entry of the locomotive into the tunnel to the exit of the last wagon from the tunnel. Find the speed of the train.
- Three days way
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he cover in three days?
- Runners
If John has a running speed of 3.5 miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible)
- Tributaries
We can fill the pool with two different tributaries. The first inflow would fill the pool in 18 hours and by both in 6 hours. How many hours would the pool fill with a second inflow?
- Two masons
Two masons built the garage together—it took 18 days. If they worked independently, the other would have worked 15 days more than the first. How many days would it take each mason to build the garage alone?
- Painters
One painter could paint a school for seven days. The second one does it for six days. It was necessary to paint the school in two days. The next painter was invited, and all worked together. How long would this painter paint the school itself?
- Cyclists
The cyclist who rides at an average speed 20 km/h travels a trip distance 13 min before the cyclist who rides at an average speed 15 km/h. What is the length of this cyclist trip(distance in km)?
- Wind drift
The plane flies at 900 km/h, passing distance 1800 kilometers with the wind and once again against the wind for 4 h 1 min. What is the wind speed?
- Calculated 25171
Peter trains for a half marathon every day. He ran 1,000m on the first day and increased the training length by 250m daily. On a certain day, Peter ran 21 km in training. That day, he calculated the total distance he had run since the start of training. H
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