MATHEMATICS HIGH SCHOOL

A pilot flew a jet from location A to B, a distance of 2500 meter,on the return trip the average speed was 20 percent faster than the outbound speed,the round-trip took 9 hours 10 minutes . What is the jet's speed from A to B.

Answers

Answer 1

Answer:

Answer: The jet's speed from A to B would be 5.5 km/hr.

Step-by-step explanation:

Since we have given that

Distance = 2500 meter

Outbound speed be x

Average speed be $(100+20)/(100)x=(120)/(100)x=1.2x$

Time = 9 hours 10 minutes = $9(10)/(60)=9(1)/(6)=(55)/(6)$

According to question, it becomes,

$(2.5)/(x)+(2.5)/(1.2x)=(55)/(6)\n\n(1.2x+x)/(1.2x^2)=(55)/(6* 2.5)\n\n(2.2x)/(1.2x^2)=(11)/(3)\n\n(2.2)/(1.2x)=(11)/(3)\n\n2.2* 3=1.2x\n\n6.6=1.2x\n\n(6.6)/(1.2)=x\n\nx=5.5\ km/hr$

Hence, the jet's speed from A to B would be 5.5 km/hr.

Related Questions

In 1975 the price of gasoline per gallon was 52.5 cents. With the 1975 price as the reference value, the gasoline price index for 1998 is 192.4. What was the cost of a gallon of gasoline in 1998?
PLEASE HELP ASAP WILL GIVE BRAINLIEST What is the slope and y -intercept of the function f (x) = - 7 + 3x1 M= 1/3 B= 72 M= -3 B= -73 M= 3 B= -74 M= -1/3 B= 7
find the area of a regular hexagon with apothem of 17.3 miles long and a side length of 20 miles long.
For all pairs of real numbers, S and T where S=4T-7, what does T equal?
Solve; 6/7 - 3/14 = what?

Help me to got a answer.

Answers

Take a piece of paper and a pencil. Draw 8 little squares in a line. Those are the supports, just like it says. Now write "4 ft" in every space between the supports, just like it says. Finally, addum all up.

You should have "4 ft" written in seven spaces.
So you'll add up "4 ft" seven times, and the total will be 28 feet.

Can someone show me how to do this? What volumes of 60% hydrochloric acid solution and 30% hydrochloric acid solution must be mixed to make 125mL of 36% hydrochloric acid solution?

Answers

u need two equations.x + y = 125
0.60x + 0.30y = (0.36)(125)

x + y = 125
0.60x + 0.30y = 45

solve for a variable in the first equation
y = 125 - x

plug into the second equation
0.60x + 0.30(125 - x) = 45
0.60x + 37.5 - 0.30x= 45
0.30x + 37.5 = 45
0.30x = 7.5
x = 25

plug the answer for x into the first equation
25 + y = 125
y = 100

If RS=5, ST=15, what is the length of RT? Show your work

Answers

Answer:

20 Units

Step-by-step explanation:

RS plus ST equals RT.

Take this visual:

_____/_______________

R S T

5 un 15 un

Using the segment addition postulate, we can tell RS+ST=RT

5+15=20

Hope this helps :-)

X2−4=0 Which is the solution set for the equation above?

Answers

2x -4 =0
+4=+4
__________
2x 4
-----= ------
2x 2x
x=2

2×2=4-4=0
(if this is what you were looking for)
It's called the equation steps or something and if you need more details just ask

Algebra II : Radical Expressions. Instructions: Rationalize each denominator.

Answers

remember multiplying something by 1 doesn't change the value

also √x times √x=x

rationalize means get rid of the square root at thebottom

basically, if the bottom is x√n then multiply the whole fraction by (x√n)/(√n) to rationalize it, then simlify by finding ones

also remember the thingummy you need for problems 6, 9 and 10
(a-b)(a+b)=a^2-b^2

and remember
$\sqrt{ (x)/(y) } = ( √(x) )/( √(y) )$

1. $( √(3) )/( √(7) )$
multply by $( √(7) )/( √(7) )$
$( √(21) )/(7)$

2. $\sqrt{ (1)/(11) } = ( √(1) )/( √(11) )$ multply by $( √(11) )/( √(11) )$
$( √(11) )/(11)$

3. 2/(∛3)
multiply by (∛3)/(∛3)
(2∛3)/3

4. $\sqrt{ (14x)/(y^(2)) } = ( √(14x) )/( y√(5) )$ multply by $( √(5) )/( √(5) )$
$( √(70x) )/(5y)$

5. ∛(4/(9x^2))=(∛4)/(∛(9x^2))
multiply by (∛(9x^2))/(∛(9x^2))
(∛(36x^2))/(9x^2)

6. multiply top and bottom by (1+√3)/(1+√3)
(8+8√3)/(1^2-(√3)^2)=(8+8√3)/(1-3)=(8+8√3)/ (-2)=-4-4√3

7. so tired, answer is $\frac{6 \sqrt[3]{4xy^(2)} }{4x^(2)y^(2)}$

8. multiply tp and bottom by (√x-3)/(√x-3)
((-2√x)+6)/(x-9)

9. multiply by (√a+√b)/(√a+√b)
$(a+ √(ab) )/(a+b)$

10 multiply top an bottom by $( √(2)+ √(6) )/( √(2)+ √(6) )$
result
$(12+3 √(12) )/(-8)$

When a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?

Answers

The height of the volcano is reduced after the eruption, then the original height of thevolcano is 9670 feet.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

brainly.com/question/29306119

#SPJ5

Answer:

9,670

Step-by-step explanation: