Themes, topics - practice problems - page 2 of 169

Number of problems found: 3370

Working group
20 men complete one third of a piece of work in 20 days. How many additional men should be employed to finish the rest of the work in 25 more days?
The tourist
A man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/h and partly by bicycle at 9 km/h. Find the distance travelled on foot.
Triple the sum
At what annual simple interest rate does a sum triple in 5 years?
The track 3
Patra runs around the track at school while training for a race. Each lap is 1/4 of a mile. On Wednesday she runs 9 laps. How far did she run?
The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water?
A plane 3
A plane left 30 minutes later than the scheduled time. In order to reach the destination 1,500 km away on time, it had to increase its speed by 250 km/h from its usual speed. Find its usual speed.
Dual profit
A merchant has 1,000 kg of sugar, part of which he sells at an 8% profit and the rest at an 18% profit. He gains 14% on the whole. Find the quantity sold at an 8% profit.
Dilution
How many litres of water will have to be added to 1,125 litres of a 45% acid solution so that the resulting mixture contains more than 25% but less than 30% acid?
Two trains 16
Two trains cross each other in 14 seconds when moving in opposite directions, and in 3 minutes and 2 seconds when moving in the same direction. By what percentage is the speed of the faster train greater than that of the slower train?
Usual speed 2
A passenger train takes 1 hour less for a journey of 120 km if its speed is increased by 10 km/h from its usual speed. What is its usual speed?
The model
The model of a building is constructed with a scale factor of 1:30. If the height of the model is 80 cm, find the actual height of the building in metres.
A turtle 3
A turtle walks at about ¼ metre per hour. How long will it take the turtle to cover 120 metres?
A ration
108 kg of rations are sufficient for 18 students for 15 days. For how many students will 70 kg of rations be sufficient for 25 days?
Two trains 15
A train travelling at 50 km/h leaves Delhi at 8 AM and another train travelling at 70 km/h leaves Delhi at 11 AM in the same direction. How many km from Delhi will they be when the faster train catches the slower one?
Drying fruit
Fresh fruit contains 68% water and dried fruit contains 20% water. How much dried fruit can be obtained from 100 kg of fresh fruit?
Five men
5 men or 9 women can complete a piece of work in 19 days. In how many days will 3 men and 6 women complete it?
A long train
A train passes a standing man in 6 seconds and a 210 m long platform in 16 seconds. Find the length and the speed of the train.
Avg velocity
A car travels 120 km at 60 km/h and another 120 km at 40 km/h. What is its average speed for the entire journey?
Crossing a pole
A train 200 m long is moving at a speed of 72 km/h. How long will it take to pass a stationary pole?
Common work
39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the same work with 30 men working 6 hours a day?

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