Algebra - math word problems - page 229 of 312
Number of problems found: 6224
- Tin body mass
A tin object transferred 150,000 J of heat, and its temperature dropped by 10 °C. Calculate the mass of the tin object. (c of tin is 0.227 kJ/kg. °C). Enter the resulting weight in grams and round it to two decimal places. - Train 2
A metro train moved between neighbouring stations as follows: it gradually accelerated and reached a speed of 70 km/h in 10 seconds. It then travelled at this speed for 35 seconds. Finally, it decelerated for 15 seconds until it stopped. Draw the speed-ti - Starting
The aircraft has a take-off speed of 310 km/h, a take-off weight of 16.5 t, and uses a 2 km take-off runway. Its cruising speed is 880 km/h and cruising altitude is 10 km. a) Determine the aircraft's acceleration during take-off and the take-off time. b) - Maxwell’s inductance bridge
The four arms of Maxwell's inductance bridge are as follows: Arm AB contains an inductive coil of inductance L1 with resistance R1. Arms BC and CD contain non-inductive resistances of 200 Ω and 100 Ω, respectively. Arm AD contains a standard inductor of i - Distance time calculation
The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague a - Bicycle meeting calculation
Dan and Johnny live 4 km from each other. They agreed to meet on the way between the two homes. Dan went out at 2 p.m. at a speed of 5 km/h. Johnny rode towards him on a bicycle at 15 km/h. What time did they meet, and how far did John travel? - Cyclist Car Catch Distance
The cyclist left place A at 8:00 a.m. at a constant speed of 25 km/h. At 8:30, a passenger car leaves A at a speed of 75 km/h along the same route. How many kilometers does the cyclist travel before the car catches up with him? - Tractor braking calculation
A tractor travels along a straight road at a speed of 15 m/s. The tractor driver starts braking with an acceleration of 2 m/s². Specify a) the magnitude of the speed and the path of the tractor in 5 s from the moment it started to brake b) the time for wh - Three Cars on Route
On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif - Body meeting
From two places, M and N, 100 m apart, two bodies move simultaneously in the positive direction of the x-axis. A body moving from place M has a speed of 5 m/s, from place N 3 m/s. How long does it take for the first body to catch up with the second? What - Train expres
At 8.00, the express Tatry started from Bratislava to Poprad. Cities are distant, 340 kilometers. At the same time, it started from Poprad Express Danube to Bratislava. Express Tatry's average speed is 80 km/h, Danube 90 km/h. At what distance from Poprad - Truck PRG-BA
Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. When the truck passes 54 kilometers from Prague, the passenger car departs from Prague and travels to Bratislava at a speed of 90 km/h. When and where (at what highway - Cars meeting distance
The distance between cities A and B is 165 km. A truck traveled from city A to city B at a speed of 50 km/h. Fifteen minutes later, a passenger drove from city B to city A at 72 km/h. How far will the passenger car travel before the two cars meet? - Chase
Paul travels at 50 km/h. After the 30 km ride, he finds that he has forgotten an important book; his brother Thomas is behind him carrying it. How fast must Thomas go to catch up with Paul in 30 minute? - Cyclist meeting
From Děčín and Ústí nad Labem, which are 24 km apart, two cyclists rode against each other at the same time. One drove at an average speed of 28 km/h, and the other, which left Ústí, drove at a speed of 20 km/h. How long did the cyclists meet, and at what - Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed? - Two friends Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20 km/h, the second 12 minutes later at a speed of 25 km/h. What time do they meet? How many km will each of them travel since then?
- Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again? - Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he - Crowbar - lever
How much force must be applied to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if the crowbar rests on the ground and the door stands on it 35 cm from the ground-end?
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