Ratio + velocity - practice problems
Number of problems found: 61
- Ruel cut
Ruel cut the grass on 1/5 of a hectare in an hour. How long will it take him to cut the grass on 3/4 of a hectare? - Calculate 82875
A working load weighing 50 kg is placed on the wheel at a distance of 50 cm from the axis of rotation. Calculate the force required to lift the wheel. Hansel lifts the wheel at a distance of 1.5 meters from the axis of rotation. The weight of the wheel is - Together 81974
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? - Simultaneously 81863
The speeds of two motor vehicles are in the ratio 7:4. How many kilometers will the slower vehicle travel simultaneously, if the faster vehicle travels 52.5 km? - Magnitudes 80788
The minute hand is three times longer than the second hand. In what ratio are the magnitudes of the velocities of their endpoints? - Home is home
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier? - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - Lightning 69734
The sound travels at a speed of 1km in 3 seconds. If the thunder is heard 12 seconds after the lightning, what distance is the storm? - Products 64374
The machine will produce 5,600 products in 7 hours. How many products will they make in 8 hours? - Change per hour
On Sunday, the temperature was 63 degrees at 2 PM. The temperature was then 72 degrees at 5 PM. What is the rate of change per hour? - Three roads
The three boys moved from start to finish on three different routes, A, B, and C, always simultaneously. Adam drove road A 1500 m long on a scooter. Blake walked route B 600 m long on foot. Cyril got on a scooter on route C after a 90 m walk, then he left - On the
On the map of Europe made at 1:4000000, Bratislava and Paris' distance is 28 cm. At what time will an airplane flying 800 km/h fly this journey? - Powerful 20773
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750L pump per minute? - Pedestrian 20613
Cyclist speed and pedestrian speed are in the ratio of 16:3. The pedestrian will drive 4.5 km per hour. How many cyclists will travel in 2 hours? - Rate 3
A liquid is heated at a rate of 5 degrees Celsius per minute. If the temperature now is at 39 degrees Celsius, how long will the temperature be by 94 degrees Celsius? - Two trains
Two trains departed from City A and City B against each other. They met after some time. The first train took 9 hours to reach city B, and the second took 4 hours to reach city A. In what proportion were the train speeds? - Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope was running at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running? - Kilometers 8343
The route of the tourist trip measures 28 cm on a map with a scale of 1:50000. The average speed of the march is 4km/h. How many kilometers does the trip measure? How many hours do students spend on the road? - Tourist
A tourist walked an average speed of 3.5 km/h route in 6 hours. Calculate how many hours he would have passed at an average speed of 5.5 km/h. - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM
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