Themes, topics - math word problems - page 127 of 167
Number of problems found: 3333
- Quadrilateral 5277
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Filled 5265
The tank is filled to two-thirds of its volume. It will only be half full if we pump 100l of water from it. What is the volume of this tank? - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 110 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys woul - Mow the lawn
Dano would mow the lawn in 12 hours and Milada in 16 hours. How long will it take the lawn mow together? - Intersect 5216
At how many points do ten lines intersect if no two are parallel? - Mason with assistant
Mason had to complete the work in 10 days. Two and a half days later, his assistant arrived. Together, they completed the work in the next three and a half days. How many days would he need an assistant for the same work?
- Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return - Fulfillment 5210
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion - Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes? - Cars 6
At 9:00 AM, two cars started from the same town and traveled at a rate of 35 miles per hour, and the other car traveled at a speed of 40 miles per hour. After how many hours will the cars be 30 miles apart? - Powerful 5189
Three equally powerful pumps drain water from a flooded pit in 7 hours. In how many hours would drain water from a pit of 5 equally powerful pumps - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Truck
The truck passed 4550 km in 5 days. The first three days passed, every day the same way. The fourth day passed 630 km, and the fifth day was 920 km. How many km have passed in the first three days? - Two boats
The sightseeing boat sailed at 25 km/h. The cruise takes 6 hours. How long does another boat sail at 60 km/h?
- Pond
Workers will empty a pond with two open floodgates in 20 days. A larger floodgate will empty the whole pond in 30 days. For how long would he be emptied with a smaller floodgate? - Pumping The tank is filled with a larger pump in 12 hours and with a second pump in 15 hours. For how long does the tank fill when both pumps are switched on at the same time?
- Maintaining 5136
Petr succumbed to a bank's tempting offer, opened an account, and deposited CZK 1,051 into it. The account bore interest at 1.4%, credited once a year. The fee for maintaining this account was only CZK 140 per year. After seven years, he enjoyed how his d - Direction 5122
At 7 o'clock, a truck drove from Olomouc towards Hradec Králové at an average 40 km/h speed. A passenger car left Hradec Králové, 210 km from Olomouc, in 7 hours 45 minutes with an average speed of 80 km/h. At what time and how far from Olomouc will they - Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L
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