Time + system of equations - practice problems - page 17 of 18
Number of problems found: 351
- Paul and Honza
Honza went to chat on a bike without a break 4.0 hours. Paul went the same way without breaks 50 minutes longer. The difference between the speeds of the two boys was one kilometer per hour. How fast was Paul if you know that the boys' speed did not chang
- Family and age ratios
The age of father and son is in the ratio 10:3; the age of father and daughter is in the ratio 5:2. How old are father and son if the daughter is 20? In what ratio is the age of sister and brother?
- Turtles Žofka and Julka
Gray wolf kept in his tent turtles Žofka and Julka together for 200 years. After 50 years, Julka will be two times older than Žofka. How old are the turtles?
- Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group?
- Mother and daughter 2
The mother is 25 years older than her daughter. How old is the mother if her age is eight-thirds age of the daughter?
- Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice as old. How old is the mother (and daughter)?
- Pedestrian up-down hill
The pedestrian goes for a walk first on the plane at 4 km/h, then uphill at 3 km/h. Then it is in the middle of the route, turns back, and goes downhill at 6 km/h. The total walk was 6 hours. How many kilometers went pedestrians?
- Rectangle - sides 3
If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the are
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up?
- Scouts
The boys from the scout group traveled a distance of 115 km over d days. Every day, they walked less than the previous day. How many kilometers did the scouts walk on the first day?
- The professor's birthday
Professor of mathematics had 44 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years as you were when I was old as to you today." How old is the director
- TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour.
- Trains
From station 130 km away started passenger train and after 2.7 hours after the express train, which travels 20 km an hour more. Express train finish journey 12 minutes early. Calculate the average speed of these two trains.
- Two runners
Two runners ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes?
- Two valves
Water fills the pool with two valves for 11 days. After 7 days, the workers stopped the first and second valve fill pool for 7 days. How many days did it take to fill the pool of each of the valves individually?
- Walkers
Two walkers simultaneously started against each other from places A and B. After the meeting, both continued to B. The Second walker came to B 2 hours before the first walker. Its speed is 2.7 times the speed of the first pedestrian. How many hours went p
- Workers
Two workers, A and B, will be done work together for 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days. If every worker worked alone, how many days did the whole work take for workers A and
- Train
A passenger train traveled for 2 hours 74 km. 3.1 hours after its departure started fast train and caught it on 186 km. How many km/h is different from its average speed?
- Paddlers
Students of canoeists traveled on a trip of three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day?
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