Themes, topics - practice problems - page 6 of 159
Number of problems found: 3172
- A journey - 2 parts
A part of journey is covered in 1 h 40 min at 75 km/h and the remaining part of it is covered in 2 h 50 min at 60 km/h.Find the total length of the journey and average speed.
- The speed 3
The speed of a boat in still water is 10 km/h. If the boat goes 37.5 km upstream in 5 h, find the speed of the stream.
- Compound vs simple interest
Calculate the difference between compound interest and simple interest in USD 7500 in two years at 8% per annum.
- The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA.
- Per annum
At a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest the same sum becomes 8 times in the same duration
- A train 2
A train 90 meters long is moving at speed 80 km/h overtakes a second train moving at 56 km/h in the same direction and passes completely in 25 1/2 seconds. Compute how long is the second train.
- Men at work
8 men can finish a piece of work in 40 days. If 2 more men joined with them, then how many days it will take to complete the work?
- Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- Two syrups
There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same?
- Person A,B
Person A takes 3000 USD from person B for 2 yrs at the rate of 10% half yearly interest. What amount will be paid by person A to B after the end 2 yr?
- 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?
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