Write the working equation :
1.) The secretary of the council can draft a communication letter in 15 mins while the assistant secretary can finish the same in 32 minutes.
2.) A number more than 32 divided by 15 more than twice a number is equal to 7/6.
3.) Twice the sum of a number and its reciprocal is same as 33/16?
4.) A certain boat traveled 32 kilometers along with the current and 16 kilometers agains the currents. In the same amount of time, find the rate of the boat if the rate of the current is 2kph.
5.) A student can finish a project 15 minutes earlier than the other student. How long will it take them to finish the project together?
x= (33±√-3007)/ 64
sec = 1/15
asst = 1/32
(32+x)/(2x+15) = 7/6
2(x + 1/x) = 33/16
and so on.
See what you can do with the others here, as well as your two later posts. Do not expect someone here to do your whole assignment. You must be able to make some headway on at least some of them, no?
I want answer
1.) Let x represent the time it takes for the secretary to finish drafting the communication letter. The assistant secretary takes 32 minutes to finish the same task. Therefore, the equation would be:
1/x + 1/32 = 1/15
2.) Let's represent the number as "x". The equation would be:
(x + 32) / (2x + 15) = 7/6
3.) Let x represent the number. The equation would be:
2(x + 1/x) = 33/16
4.) Let's represent the rate of the boat as "b". The equation would be:
(b + 2) * t = 32, and (b - 2) * t = 16
5.) Let x represent the time it takes for the second student to finish the project. The equation would be:
x - 15 + x = x
1.) Let x be the time it takes for the secretary to draft the communication letter in minutes. The assistant secretary takes 32 minutes to finish the same letter. Therefore, their rates of work can be expressed as 1/x and 1/32, respectively. To find their combined rate of work, we add their rates together: 1/x + 1/32.
The equation can be written as 1/x + 1/32 = 1/15.
2.) Let the number be represented by x. The phrase "a number more than 32" can be expressed as x + 32. The phrase "15 more than twice a number" can be expressed as 15 + 2x.
The equation can be written as (x + 32) / (15 + 2x) = 7/6.
3.) Let the number be represented by x. The phrase "twice the sum of a number and its reciprocal" can be expressed as 2(x + 1/x).
The equation can be written as 2(x + 1/x) = 33/16.
4.) Let the rate of the boat be represented by b km/h. The rate of the current is given as 2 km/h. Therefore, the boat's speed with the current is (b + 2) km/h, and against the current is (b - 2) km/h.
To find the rate of the boat, we can set up the equation (32 / (b + 2)) = (16 / (b - 2)).
5.) Let's assume that the first student takes x minutes to finish the project. The second student takes 15 minutes less, so their time can be expressed as (x - 15).
To find the time they take together, we can add their individual times: x + (x - 15).
The equation can be written as x + (x - 15) = the total time to finish the project together.