Physical quantities - math word problems - page 42 of 177

Number of problems found: 3535

Angle of elevation
The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters?
Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
Lamp shade
A lampshade is in the form of a frustum of a cone with a slant height of 7 inches and base radii of 3 inches and 7 inches respectively. How much material is used in its construction if 1/4 inch is allowed for the seam?
Miniature train
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?
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.
A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts.
Simple interest
At what time will the sum be doubled at 5% per annum at simple interest?
Avg speed 2
A car covers four successive 3 km stretches at 10 kmph, 20 kmph, 30 kmph, and 60 kmph, respectively. What is the average speed over this distance?
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?
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.
A road
A road on a map measures 8 cm long. The scale of the map is 25000. Calculate the actual length of the road
Eva wraps
Eve wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square metres?
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?
The first
The first 300 km of a journey is covered in 10/3 hours, and the remaining journey is covered in 8/3 hours at 75 km/h. Find the average speed of the whole journey.
Solution dilution
I'm further diluting a solution which has previously been diluted. I started with a 1:4 dilution, then diluted that a further 1:5, what is my dilution factor after this?
A train 5
A train travels from Brno to Aš at a speed of 45 km/h and returns back at a speed of 36 km/h. Find the average speed of the train.
Three pipes PPM
Pipe A can fill a tank in 20 h while pipe B can fill it in 10 h and pipe C can empty the full tank in 30 h. If all the pipes are opened together, how much time will be needed to make the tank full?
Journey 9
A person covers half of his journey at 40 km/h and the remaining half at 20 km/h. Find his average speed for the whole journey.
One-third 18
One-third of a certain journey was covered at the speed of 20 km/h, one-fourth at 30 km/h, and the rest at the speed of 50 km/h. Find the average speed of the whole journey.
Scale model
In a model train set, 1.38 inches represents one foot in real life. The height of One World Trade Center in New York City is 1776 feet. How tall would a scale model of the building be? Should you calculate 1776 x 1.38 or 1776 ÷ 1.38?

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