Length - practice problems
Length measures the extent of an object in one dimension, such as the height of a door or the span of a bridge. Distance quantifies the separation between two points in space, like the miles between cities or the meters from home to school. While length is an intrinsic property of an object, distance depends on the path taken between locations. Both concepts use units like meters or feet but differ in context—length describes size, while distance describes spacing. In physics, distance is a scalar value representing how far apart objects are, regardless of direction.Number of problems found: 3230
- Swim kilometers
Amy swam 2/9 kilometers to an island. Then she swam 1/9 kilometers to a boat. How far did she swim in all? Write your answer as a fraction in simplest form.
- A road 2
A road crew must repave a road that is 4/5 miles long. They can repave 1/20 miles each hour. How long will it take the crew to repave the road? Write your answer in simplest form.
- A train 7
A train overtakes two persons. They are walking in the same direction as the train at the rate of 2 km/hr and 4 km/hr. The train passes them completely in 9 and 10 seconds respectively. Find the length of the train.
- A train 6
A train covers a distance 10km, 20km, and 30km in 50 kmph, 60 kmph and 90 kmph respectively. Find the average speed of the train (in km/h).
- A building
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height of 25 centimeters. What is the length of the building on the scale drawing in centimeters?
- A rope for cow
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m .
- Journey trip
A man performs 2/15 of the total journey by rail, 9/20 by bus and the remaining 10 km, on the cycle. What is his total journey?
- Existence of a triangle
Can the sides of a triangle have lengths 4, 18, and 20?
- Goods train
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
- Fabric - Jose
Jose had 1 5/7 yards of fabric and used 24/59 yard for a project. What fraction of the fabric did he use?
- Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
- Submarine and plane
A submarine is floating 900 m below the sea level. And at the opposite point, right above the submarine, an aeroplane is flying at the height of 4800 m above the sea level. What is the vertical distance between the two?
- Rectangle -S2
I need help calculating the area and perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
- A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park.
- A gardener
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs $0.40 per meter.
- The tourist
A man traveled a distance of 61 km in 9 hours. He traveled partly on foot at 4 kmph and party on bicycle at 9 kmph. Find the distance traveled on foot.
- Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm
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