# Themes, topics - practice problems - page 2 of 153

This page contains thematic word problems. We have about 20 main topics, such as motion problems, mixtures, work problems etc. Please choose a specific topic that interests you from the menu. Examples within a topic usually train similar knowledge. For example, in movement tasks, terms such as distance, speed, and time often occur.#### Number of problems found: 3045

- A man 18

A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h. If he walks 29 km in 8 hours altogether, find the value of t1 and t2, respectively. - The mixture

If a 6-liter solution with a concentration of 20% alcohol is mixed with a 4-liter solution with a 60% concentration of alcohol. Find the percentage of alcohol in the mixture. - Two towns

X and Y are two towns . A man goes from town X to town Y at an average speed of 30km/h and returns at the average speed 20km/h. Find the distance between the two towns if the man takes 10 hours on the whole. - Johnny 3

Johnny has $46,754 in a savings account that earns 14% annually. The interest is not compounded. To the nearest dollar, how much interest will he earn in 3 years?

- Mr. Stephan

Mr. Stephan cycled at an average speed of 15 km/h for 10 km. He then cycled another 12 km at an average speed of 18 km/h. Please find the total time taken for his journey. - Two places 3

The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that - Two persons

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train. - Train same direction

Find the time taken by a train 170 m long, running at the speed of 83 km/h, to cross another train 180 m running at the speed of 65 km/h in the same direction. - 20 men

20 men are supposed to complete a work in 10 days. After working for 5 days, they realize that only one-fourth of the work is done. How many more men they need to employ to complete the work on time?

- Taps and a tank

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? - Manday, manhour

Job problem: 10 men can make 20 toys in 12 days working 12 hours a day.Then, in how many days can 24 persons make 32 toys working 16 hours a day? - Bad weather

An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight. - Solution dilution

I'm further diluting a solution which has previously been diluted. I started with a 1:4 dilution, then diluted that a further 1:5, what is my dilution factor after this? - A park on map

A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?

- The playhouse

The drawings of the playhouse are made on a scale of 1:50. In the drawing, the length of the cottage is 4.5 cm. How long is the playhouse actually? - The capacitor

The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - A car 9

A car travels at 34 km/hr. How far does it take to travel in 2 hours? - The restaurant

The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office? - EE school boarding

Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C.

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