Per mil practice problems
One per mill means one-thousandth of a whole. A per mill is one thousandth. A per mill is a tenth of a percent, which is a tenth of a hundredth of a whole. A per mill has the mark ‰, while three zeros in the mark mean three zeros from the number 1000. A per mill is a mathematical term, but in everyday speech, especially in slang, it also means checking the amount of alcohol in the blood, measured in parts per million. For example, how many parts per million did you blow? Measuring alcohol in the blood/breath actually means how many thousandths of the blood volume a person has alcohol. Then we can say, for example, 1.0 per thousand: mild intoxication. That mean they measured 1 ml of alcohol in a liter of human blood.We recognize money per mill, weight per mill, volume per mill, and per mill from any other physical quantity. Another correct words for this term are: per mil, per mill, permil, permill, permille.
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 86
- Somebody
Somebody spends 5% of his wages on school fees. That amounts to 800 shillings. How much does he earn? - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - 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? - Two trains 14
Two trains running in the same direction at 40 kmph and 22 kmph completely pass one another in 1 minute. If the length of the first train is 125 m, find the length of the 2nd train. - Adam reaches
If Adam walks at 3 km/h, he will reach school 15 minutes late. If he walks at 4 km/h (kmph), he will reach school 15 minutes earlier than usual. What is the distance between school and house? - The speed problem Convert 540 meters/minute to kilometer/hour (m/min to kmph).
- The bicycle
The bicycle runs 30 mph for 20 minutes. How far it goes? - A car miles
A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it? - Graduation of the track
The gradient of the track is 9 per mille, and the distance along the slope [AC] is 560 m. Determine angle alpha and the distance [AB], which is the height between A and B. A / | B/____________C - Gradient of the railway Calculate the gradient of the railway line, which has an elevation of 22.5 meters in a section of 1.5 kilometers. For railways, the result is given in h (per mille).
- Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Track ascent meters
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Unknown permille
75 per mille of an unknown number equals 60. What is an unknown number? - Railway descent permille
Calculate the per mille descent of the railway line in the section of 7.2 km by 21.6 m. - Permille number fifty
Calculate 50 per mille of 340. - Installment late fee
It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 per mille per day. What debt will be incurred at the end of the year? - Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed? - Inspector and fare-dodging
Jirka rode as a fare-dodger and was caught by the inspector. He was supposed to pay 1 500 Kč, but at first he did not have money and then he forgot about it. If he does not pay on time, for each day of delay he will be charged a penalty amounting to 0.5‰ - A plane
A plane is flying at the rate of 350 mph. After an eight-hour flight is at its destination, how far did the plane fly? - Road ascent
The road rises by 8 m to 2000 m. Calculate its ascent in per mille.
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