Fractions + length - math problems

Number of problems found: 76

Divide in ratio
Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if at the same time a column 2.5 m high has a shadow of 1.5 m.
Two ribbons
The total length of two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon.
The tourist
The tourist has walked 3/4 of the route. The destination is 12.5 km away. How many kilometers did the route measure?
Doug biked
Doug biked 5 1/4 miles in 3/4 of an hour. What is his average speed?
Marlon
Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the drawing. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
Picture frames
Destiny has to make 24 picture frames. Each frame uses 16 3/8 wood trim. 2/3 were completed on the first day. How many inches of wood trim is needed to complete the remaining frames on the second day?
Athletic race
Before a race, you start 4 5/8 feet behind your friend. At the halfway point, you are 3 2/3 feet ahead of your friend. What is the change in distance between you and your friend from the beginning of the race?
The sides
The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it.
Gears
The front gear on the bike has 32 teeth and the rear, on the wheel, has 12 teeth. How many times does the rear wheel of the bike turns if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he walk in three days?
Chester
Chester has a piece of wood measuring 1 2/3 cm he needs to cut it to pieces measuring 3/4 cm long. How many pieces of wood did Chester cut?
Proportion 2
A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours? Put what kind of proportion is this and show your solution.
Scale of the map
The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
Steps
Peter walked a distance of 60 m 102 steps. How many steps must he take to walk 150 m?
Wood 11
Father has 12 1/5 meters long wood. Then I cut the wood into two pieces. One part is 7 3/5 meters long. Calculate the length of the other wood?
Photo egative
Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
Iron pole
The iron pole is in the ground 2/5 of its length, partly above the ground 1/3 is yellow, and the unpainted section is 6 m long. How long is the entire column?
Interior designer
To make draperies an interior designer needs 11 1/4 yards of material for the den and 8 1/2 yards for the living room. If material comes only in 20 yard bolts, how much will be left over after completing both sets of draperies?
Tourist route
How long is the tourist route when tourists crossed four-sevenths of the way on foot, crossed the bus twice less than on foot and passed the last 14 kilometers by boat.