Length - practice problems - page 3 of 163
Number of problems found: 3249
- Two trains 13
Two trains start at the same time toward each other from stations A and B at respective speeds of 36 km/h and 42 km/h. When they meet, it was found that one train has covered 48 km more than the other. Find the distance between the two stations. - The vertices
The vertices of a triangle are A (-1,3), B (1,-1), and C (5, 1). Find the length of the median through the vertex C. - Speed Adjustment
By increasing the speed of his car by 15 km/h, a person covers a 300 km distance in an hour less than before. What was the original speed? - RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture. - A bike 2
A bike is running 72 km/hr. How much distance will it cover in 15 seconds? - Selling cloth
By selling 33 m of cloth, a shopkeeper loses an amount equal to the selling price of 3 m of cloth. Find his gain or loss percentage. - A capsule
A medicine capsule is a cylinder with two hemispheres stuck to each end. Its length is 14 mm, and its diameter is 5 mm. Find its surface area. - Jeremy 2
Jeremy is digitally editing out some red-eye problems in the photos from his sister's birthday party. The eyes are small and hard to click on, so he zooms in on the photo from 100% to 400%. In the zoomed-in photo, the eyes are 3 cm wide. How many cm wide - An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod? - A train 4 A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively. Find the length and speed of the train.
- A boat 4
A boat travels 25 km upstream in 5 hours and 25 km downstream in 2.5 hours. If the boat increased its speed by 3 km/h, it would take 1 hour less to travel the downstream distance. Find the speed of the stream. - Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN. - Elevation angle
A man standing on the deck of a ship, which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60°, and angle of depression of the base of the hill is 30°. Find the distance of the hill from the ship and the height of t - A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water. - Automobil The car traveled three quarters of the total journey at a speed of 90 km/h and the remaining part of the journey at a speed of 50 km/h. Find its average speed.
- The world record
The world record for the longest dogtail is 77/100 meters. The previous record was 1/20 meter shorter than the current record. Was the previous record holder longer than 3/4 meter? - The dimensions
The dimensions of a rectangular piece of paper are 22 cm × 14 cm. It is rolled once across the breadth and once across the length to form right circular cylinders of biggest possible surface area. Find the difference in volumes of the two cylinders that w - A carpenter 3
A carpenter bought a piece of wood that was 0.9 meters long. Then she sawed 0.8 meters off the end. How long is the piece of wood now? - The distance 4
The distance between two towns is 120 km there are approximately 8 km in each 5 mi. Which measurement is closest to the number of miles between each two towns? - Two trains 12 Two trains 128m and 132m long are running towards each other on parallel lines at 42km/h and 30km/h respectively. In what time will they clear of each other from the moment they meet?
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