Algebra - math word problems - page 243 of 312
Number of problems found: 6224
- 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? - Ball selection probability
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them? - Solution
In 201 l, the red solution is 143 l in red color, and in 227 l, the blue solution is 112 l in blue color. How many l of red and blue l color solution must be mixed to get a mixture of 242 l to contain 121 l of color? - Penalty kick probability
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Pedestrian cyclist meeting
From two places, A and B, 27 km apart, a pedestrian will simultaneously walk at a speed of 6 km/h from place A and a cyclist at a rate of 24 km/h from place B. At what distance from place A will they compete? - Balance
A rod 4.3 m long has weights of 9 kg and 15 kg hanging from its ends. Where should the fulcrum be placed (measured from the 9 kg weight) for the rod to be in balance? - Source internal resistance
A load of 23.5 ohm is connected to an ideal voltage source of 30 V, and a current of 1.2 A passes through the circuit. Determine the magnitude of the source's internal resistance and the short-circuit current. - Pool inlet filling
We can fill the pool with two inflow pipes. The first pipe fill in 24 hours and the second in 16 hours. How long did the pool fill if the first tube was open for the first 4 hours and then we opened both inlets? - Car meeting time
At 10:00 AM, a car started from place A at a speed of 70 km/h. 0.5 hours later, a car started from the same point at a speed of 100 km/h. What time did they meet? How many kilometers from point A did they travel before they met? - Escort vehicle pursuit
Behind the vehicle with an oversized load, which moves at an average speed of 16 km/h, they sent a second escort vehicle 2.5 hours later, which travels at an average speed of 70 km/h. At what time and at what distance does this vehicle reach the oversized - Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)? - Tractor vs car
Behind the tractor, which was traveling at an average speed of 20 km/h, a car started in two hours and overtook it in 1 hour. At what speed was the car moving? - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - Tea mixture calculation
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? - The tourist
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 kilometers did he walk in three days? - Train meeting calculation
When and where will two trains that run simultaneously from stations A and B at a distance of 60 km meet if the train from station A ran at 70 km/h and the train from station B at 50 km/h? - Snail ant meeting
A snail emerges from the leaf at a speed of 1 cm/min. At the same time, an ant rushes towards it from the stone at a speed of 5 cm/min. The distance between the leaf and the stone is 1.2 meters. How soon will they meet, and at what distance? - Trip distance calculation
The Macháček family went on a 3-day trip to Třeboň. They didn't want to get too tired but wanted to see a lot. Therefore, they drove at a walking pace, and at the end of the 3rd day, they measured 90 km on the speedometer. On the second day, they traveled - Classmate catching calculation
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? - Cyclist meeting distance
A cyclist leaves town A, 84 km from town B, and 2 hours later, another cyclist goes from town B to town A at the same average speed of 14 km/h. How far from city B will they fight?
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