Unit conversion - math word problems - page 132 of 134

Number of problems found: 2678

Clock
How far does the tip of a clock's second hand travel in day, if the second hand is 15 mm long?
Earth parallel
The Earth's radius is 6377 km. Calculate the circumference of the parallel at latitude 75°.
Track arc
Two straight railway tracks meet at an angle of 126°. They are joined by a circular arc with radius r = 1110 m. How long is the connecting arc (L)? How far is the centre of the arc from the intersection of the tracks (x)?
Tourist
Tourists walk at 4.2 km/h. They take a 10-minute break every 6 km. How many kilometres did they walk if they started at 4:40 and finished at 21:40?
Train
A train travels a section of line in 55 minutes at a speed of 70 km/h. At what speed would it need to travel to shorten the journey time by 16 minutes?
Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 223 m of hot water pipelines 1" and the hot water has a price of 14.6 Eur/m³.
Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm.
Lead cube
Calculate the cube's edge made from lead, which weighs 14 kg. The density of lead is 11341 kg/m³.
Pump
What power output must a pump have to raise 1060 hl of water to a height of 43 m in 8 hours?
Fan
A fan rotates at 217 RPM. Calculate the period of one rotation.
Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
Cable car
A cable car rises at an angle of 44° and connects the upper and lower stations with an altitude difference of 1089 m. How long is the continuous (endless) tow rope?
Trigonometry
Given that cos(γ) = sin(806°), find the angle γ.
Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower?
Glass of juice
A cylindrical glass 13 cm tall with a base diameter of 9 cm is filled with juice to a level 3 cm below the rim. Determine the maximum angle to which the glass can be tilted without the juice spilling.
Chord MN
Chord MN of a circle has a distance of 28 cm from the centre S. Angle MSN is 54°. Determine the radius of the circle.
A trip to the Dry Peak
Calculate what percentage of the trip from Strečno to peak Suchý (Dry Peak) is longer than the descent back. The team of tourists (Palo, Peter, and Andrew) 's rise took 4:11 and descent 3:51.
Aquarium II
Calculate how much glass is needed to build a rectangular aquarium with a base of 65 cm × 52 cm and a height of 74 cm, assuming 2% waste. The aquarium has no top.
Thrift woman
Calculate how long a grandmother must save to buy new shoes priced at 116 euros if she saves 2 EUR per month.
Car range
Kia has an average diesel consumption of 5.2 liters per 100 kilometers. What is the range of the car for 138 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 64 liters?

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