- A45
- B50
- C 54
- D60
Distance covered in 72 sec = (300+900)m
Pranav's age now = 4X Qureshi's age now = 5X The ratio of their ages 5 years ago was 7:9 Substituting the values: (4X - 5) : (5X - 5) = 7:9 Solving the equation: X = 10 This means that Pranav is currently 40 years old and Qureshi is currently 50 years old.
Let's say that the number of boys is b and the number of girls is g. We know that the total number of boys and girls is 50, so we can write the equation:
b + g = 50
We also know that the total number of oranges that the boys receive is 5b, and the total number of oranges that the girls receive is 7g. The total number of oranges that are distributed is 280, so we can write the equation:
5b + 7g = 280
We can solve this system of equations using substitution. First, we can solve for b in the first equation by rearranging it as follows:
b = 50 - g
Substituting this expression for b into the second equation, we get:
5(50 - g) + 7g = 280
Expanding and simplifying the left side of the equation, we get:
250 - 5g + 7g = 280
Combining like terms, we get:
2g = 30
Dividing both sides by 2, we get:
g = 15
Therefore, there are 15 girls in the group of 50 people.
A is twice as good a workman as B, so the ratio of A's work to B's work is 2 : 1. A and B can finish the work in 18 days, so the amount of work they complete in 1 day is (1/18) of the total work. We can divide the amount of work they complete in 1 day in the ratio 2 : 1, with A completing 2/3 and B completing 1/3. Therefore, A's 1 day's work is (1/18) * (2/3) = 1/27 of the total work. Since A completes (1/27) of the total work in 1 day, it will take him 27 days to complete the entire work.
The total distance traveled around the square is given as the sum of the distances traveled along each side. Since each side of the square is x km long and there are four sides, the total distance traveled is 4x km. The total time taken to fly around the square is given as the sum of the times taken to fly along each side. Since the speed of the plane along each side is given, we can divide the distance traveled by the speed to find the time taken for each side. For example, to find the time taken to fly 200 km at a speed of 200 km/hr, we would divide 200 km by 200 km/hr to get 1 hour. Therefore, the total time taken to fly around the square is x/200 + x/400 + x/600 + x/800 hours. To find the average speed, we can divide the total distance traveled by the total time taken. In this case, the total distance traveled is 4x km and the total time taken is x/200 + x/400 + x/600 + x/800 hours. Therefore, the average speed is 4x km / (x/200 + x/400 + x/600 + x/800) km/hr. By substituting the values given in the problem, we can solve for y, which is the average speed. In this case, the average speed is y = (4x km) / (x/200 + x/400 + x/600 + x/800) km/hr. Plugging in the values given in the problem, we get y = (4x km) / ((x/200) + (x/400) + (x/600) + (x/800)) km/hr = (4x km) / (25x/2500) km/hr = (4x km) / (4x/y) km/hr = y = 2400*4/25 = 384 km/hr.
The speed of the object is given as 72 km/hr. To convert the speed from kilometers per hour to meters per second, we can multiply it by the conversion factor 5/18. This gives us a speed of 72 * 5/18 = 20 m/s. The time taken to travel a certain distance is given as 30 seconds. To find the distance traveled by the object, we can use the formula distance = speed * time. Plugging in the values given in the problem, we get distance = 20 m/s * 30 seconds = 600 meters.
The speed ratio between the two objects is given as 1:4/5 = 5:4. The time ratio between the two objects is given as 4:5. We can use the speed ratio and the time ratio to find the unknown time ratio. Since the speed ratio is 5:4 and the time ratio is 4:5, we can set up the following equation: 5/4 = (time ratio)/5. Solving for the time ratio, we get time ratio = 5 * (5/4) = 5 * 1.25 = 20. Therefore, the time ratio between the two objects is 20.
The distance between the two locations is given as x. The time difference between the arrival of the two cars is given as 4 hours. We are given that the second car starts 1.5 hours later and reaches 2.5 hours earlier than the first car. We can use the time difference and the information about the arrival times of the two cars to find the speed of the first car and the speed of the second car. Since the second car starts 1.5 hours later and reaches 2.5 hours earlier, the time taken by the second car is 4 hours - 1.5 hours - 2.5 hours = 0.5 hours. Thus, the speed of the second car is x/0.5 = 2x/1 = 2x km/hr. The time taken by the first car is 4 hours. Thus, the speed of the first car is x/4 = x/4 km/hr. We can use the speed of the first car and the speed of the second car to find the distance between the two locations. Since the speed of the first car is x/4 km/hr and the speed of the second car is 2x km/hr, we can set up the following equation: x/4 - 2x/4 = 4. Solving for x, we get x = 240 km. Therefore, the distance between the two locations is 240 km.
The ratio of land: water = 1: 2 In the northern hemisphere the ration of land: water = 2: 3 Note: Earth is divided equally into two hemispheres called northern hemisphere and southern hemisphere. i.e., the northern hemisphere is 50% of the total earth. We can say southern hemisphere = total area- northern hemisphere. To make the northern hemisphere 50% of the total area Multiply the ratio of the earth by 10 and northern hemisphere by 3 Now, earth's ratio Land: water = 1*10: 2*10 = 10: 20............... (i) Northern hemisphere's ratio = 2*3: 3*3 = 6: 9...................... (ii) Subtract equation i by ii Hence, southern hemisphere = 10- 6: 20-9 = 4: 11