# Latest problems - page 15

- Overtaking

On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and after passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h, the bus goes at a steady speed of 54 km/h.. - The swimmer

The swimmer swims at a constant speed of 0.85 m/s relative to water flow. The current speed in the river is 0.40 m/s, the river width is 90 m. a) What is the resulting speed of the swimmer with respect to the tree on the riverbank when the swimmer motion - Paratrooper

After the parachute is opened, the paratrooper drops to the ground at a constant speed of 2 m/s, with the sidewinding at a steady speed of 1.5 m/s. Find: a) the magnitude of its resulting velocity with respect to the ground, b) the distance of his land fr - Lengths of the pool

Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim? - Tickets 4

Stacey is selling tickets to the school play. The tickets are $7 for adults and $5 for children. She sells twice as many adult tickets as children's tickets and brings in a total of $342. How many of each kind of ticket did she sell? - Outside temperature

The temperature outside was 57 degree Fahrenheit. During the next few hours it decreased by 18 degrees and then increased by 23 degrees. Find new temperature. - Fractions 3

Calculate 1/9 of 27: - Three brothers

The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them? - Supplementary angles

One of the supplementary angles is larger by 33° than the second one. Calculate the angles size. - Hugo has

Hugo has 12 apples, Julka has seven more than Hugo and six less than Anna. How many apples have Anna and how many Julka? - Edges or sides

Calculate the cube volume, if the sum of the lengths of all sides is 276 cm. - Mixed with percentages

Calculate 33 1/3% of 570. - The position

The position of a body at any time T is given by the displacement function S=t^{3}-2t^{2}-4t-8. Find its acceleration at each instant time when the velocity is zero. - Classmates

Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have? - Inverted nine

In the hotel,, Inverted nine" each hotel room number is divisible by 6. How many rooms we can count with three-digit number registered by digits 1,8,7,4,9? - Discount

The dress was discounted by CZK 115, which was 12% of the original price. What is the cost of the dress after the discount? - Sugars

In what ratio must two sorts of sugar, costing #390 and #315 per kg respectively, be mixed in order to produce a mixture worth #369 per kg? - Ping time

Calculate theoretical ping time between Orlando and Shenzhen which is 14102 km distant. Ping time measures the round-trip time for small messages sent from the origin to a destination that is echoed back to the source. The name comes from active sonar term - Progression

12, 60, -300,1500 need next 2 numbers of pattern - Domains of functions

F(x)=x^{2}-7x and g(x)=5-x^{2}Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..

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