Themes, topics - practice problems - page 6 of 167
Number of problems found: 3330
- A boat
A boat covers 20 km in an hour downstream and covers the same distance in 2 hours upstream. Then, find the speed of the boat in still water and the speed of the stream.
- Two trains 10
Two trains of lengths 75 m and 95 m are moving in the same direction at 9 m/s and 8 m/s, respectively. Find the time taken by the faster train to cross the slower train.
- A car 10
A car covers a distance of 200 km in 2 h 40 min whereas a jeep covers the same distance in 2 h. What is the ratio of their speeds?
- Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
- Two trains 9
A passenger train moving at a speed of 90 km/h leaves a station 6 hours after a goods (freight) train has left the station and overtakes it in 4 hours. What is the speed of the goods train?
- 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.
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