Algebra - math word problems - page 243 of 305
Number of problems found: 6095
- Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) Both are defective? Ii) Is the second item defective? - How many 4
How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, and 0 such no digits repeats? - Quarry cleaning time
It takes Maťko 12 hours to clear the wreckage, and his friend Kubko only 8 hours. Kubko started cleaning the quarry only after Maťko had already been working on the quarry for two hours. When did Maťko and Kubek finish cleaning the quarry when Maťko start - Cyclist pedestrian pursuit
Behind a pedestrian walking at an average speed of 5 km/h, a cyclist drove from the same place 3 hours later at an average speed of 20 km/h. How long will it take for a cyclist to catch up with a pedestrian? - Candy mixture calculation
How many kg of red candies at the price of CZK 65 per 1 kg must be added to 5 kg of blue sweets at the cost of CZK 140 per 1 kg when the price of the mixture should be CZK 120 per 1 kg? - Hiking Time Each Way
The trip to the top of Konecara and back lasted 5 hours and 17 minutes. We rested at the peaks for 32 minutes. The way back took 51 minutes less than the way there. How long did the trip to the top take? - Garden mowing
Eva will mow the garden in 4 hours, and Doubravka will cut it in 3 hours. How long would it take to mow the garden if Eva started an hour earlier and only Doubravka joined it? - Worker time
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone? - Distance calculation
How far is it from Prague to Mladá Boleslav when 40 km is eight-tenths of this distance? - Workshop shifts
Workshop A can fulfill a specific order in 8 changes, workshop B in 10 modifications. How many shifts will the job be completed if workshop A works on only the first two shifts and both workshops work on the remaining shifts? - Tank filling
The water tank is filled with the first inflow in 1 hour 20 minutes, the second in 60 minutes. How many minutes will the tank be half full with both inlets if the other inlet is opened 12 minutes later? - Average height
The average height of all pupils is 162 cm. The class teacher's height is 178 cm. The average height of all (teacher and all pupils) is 163 cm. Calculate the number of pupils in the class. - Water + temperature
We supplied 1365 kJ of heat to water weighing 5 kg and initially at 20°C. To what temperature did it heat up? - Paving 2
It will take a construction company 8 working days to pave the sidewalks on two streets in a city if all 6 pavers work. However, only 4 pavers can complete the job because the other two have been dismissed. How many working days will it take the group of - Swing boy distance
An 8-meter-long swing is supported at the center. A 30 kg boy is sitting at one end. How far from the axis of rotation on the other side of the swing must the second boy of mass 40 kg sit? - Airplane distance meeting
Two points are at a distance of 1840 km. An airplane departs from A at 7:00 a.m. and flies at an average speed of 50 km/h faster than another airplane departs from B at 8:00 a.m. At what distance from A do they meet at 9:00? - A coffee
A coffee shop owner blends a gourmet brand of coffee with a cheaper brand. Gourmet coffee usually sells for R420,00 per kilogram, while the cheaper brand sells for R180,00 per kilogram. How much of each type should be mixed to have 30 kilograms of coffee - Tractor hectare plowing
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution? - Coils of transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220V. How many turns does the secondary coil have when the voltage is 55 V? Find the transformation ratio and decide what kind of transformation. - Pool pump filling
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b
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