Time - practice problems - page 4 of 146
Time (latin tempus) is one of the fundamental physical quantities of SI. The base unit is 1 second. One second is defined as 9,192,631,770 transition oscillations in the Cs-133 atom (the atomic clock ticking). Time cannot be defined using other physical quantities - it is an essential - fundamental quantity. Derived units are minute, hour, day, week, year. For example, 1 minute is defined as 60 seconds. One hour is 3600 seconds. One day is 24 hours. Fractional seconds are 1 ms (millisecond), 1 μs (microsecond), and 1 ns (nanosecond). Frequency is the inverse of the duration of a phenomenon that repeats itself.Number of problems found: 2902
- Washing cars
Frank takes 3 and 1/4 hours to wash six cars. How long will it take to wash 12 cars, 18 cars, and 24 cars? - The sum 43
The sum of Rs. 820 will be divided among Ali, Fakhar, and Zahid according to the ratio 3 : 4 : 5. How much does each receive? - Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Using 4
Using the law of cosines, find the measurement of leg b if the givens are B=20°, a=10, and c=15.
- Value of the note
A 10-month promissory note issued on March 21, 2021, bearing interest of 7.2% p.a., has a maturity value of $4128.02. Find the face value of the note. - The usage
The battery usage time installed in a particular smartphone has a Normal distribution with a mean of 25.2 hours and a standard deviation of 7.5 hours. What is the probability of usage time greater than 32? - A tree
A tree grows 1 3/4 ft per year. How long will it take the tree to grow from a height of 2 1/4 feet to a height of 37 feet? - The ratio 17
The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there? - It takes 2
It takes 7 1/5 seconds for a jet to fly 1 km. How long does it take for this jet to fly 3/4 of a km?
- Hotel rooms 2
Waterside bed and breakfast has 10 rooms. On average, they sell 8 rooms. The rate is $45 per night, bed and breakfast, $65 per night. Calculate the yield. - A bank
A bank reported that x/12 more first-time buyers took a mortgage out last month. If a quarter more mortgages were taken out, what number (x) is missing? - Clock ratio
What is six hours to 10 hours? - Rita runs
Rita runs 4.18 km every day. What will be the total distance covered by Rita in 23 days? - Minus round
The outdoor temperature yesterday reached a low of −4.5°F. Between what two integers was the temperature?
- Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - Compound interest
Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day. - Planetary system
Robert has built a mechanical model solar system with three balls representing planets at the end of rods. Each rod is attached to the center, representing the Sun. The planets are lined up when he turns on the motor. The innermost planet makes a revoluti - A basket 4
A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges. - Simple temp problem
From 9:00 AM to 10:00 AM, the temperature rose 1°C. At 11:00 AM, it further rose 2°C. What is the total increase in temperature from 9:00 AM to noon?
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