# Themes, topics - math word problems

- The orchard

4 temporary workers harvested the orchard in 9 days. How many temporary workers we need for six days? - Outside tangents

Calculate the length of the line segment S_{1}S_{2}if the circles k_{1}(S_{1}, 8cm) and k2 (S_{2},4cm) touch the outside. - The freezer

1. The temperature inside a freezer is minus 23 degree Celsius. The temperature falls by a further 12 degree degree Celsius. What is the new temperature? 2. What is the difference between temperatures of 12 degree Celsius and 210 degree Celsius? - A lot of hay

Martin's grandfather weighed a lot of hay and calculated that for 15 rabbits it last in 100 days. How many days will this lot be enough for 25 rabbits? - The tourist

The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. After a 4 km walk, however, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re - Self-oscillation period

The water in the vessel carried by the boy has a self-oscillation period of 0.8 s. What is the size of the boy's movement speed when the length of the boy's step is 60 cm? Give the result in m/s. - Grandma

6 kg of potatoes is enough for four at home for 15 days. For how many days will this amount be enough if a grandma will visit? - Runners

If John has a running speed of 3.5miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 am and Lucy starts running at 10:30 am, at what time will they meet? (as soon as possible) - Percents from percent

How much is 13% of 20% of 500 greater than 8% of 14% of 200? - The university

At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in t - Lemonade

Iva added one liter of 100% fruit juice to 3 liters of water. She left two liters of it for Alice and Beata. She added two more liters of water to the remain two liters of lemonade and offered it to other friends. a. What percentage of juice did Alena an - Aircraft angines

The two engines of the aircraft are enough to supply the fuel for five hours of operation. However, one of the engines has a malfunction and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour - Worker's performance

15 workers paint 180 m fence in 3 days. In how many days will 9 workers paint a 360 m fence? We assume that each worker have the same, constant and unchangeable performance. - Alcohol mixing

How much 64% of the alcohol must be poured into 6 liters of 85% alcohol to produce 79% alcohol? - Fast tourists

If three tourists pass the route in 5 hours, how long will the same route take six equally fast tourists? - Average speed

The average speed of a pedestrian who walked 10 km was 5km/h, the average speed of a cyclist on the same track was 20km/h. In how many minutes did the route take more than a cyclist? Q - Water current

John swims upstream. After a while, he passes the bottle, from that moment he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bottle. - Sick days

In Canada, there are typically 261 working days per year. If there is a 4.9% chance that an employee takes a sick day. .. what is the probability an employee will use 17 OR MORE sick days in a year? - Skid friction

Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid. - The bridge

A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force is pushing the car onto the bridge as it passes through the center? What is the maximum speed it can cross over the center of the bridge so that

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