![gmac24](/avatars/29172.jpg)
gmac24
10.03.2020 •
Mathematics
In a flight for 3000 kilometre and aircraft was slowed down due to bad weather its average speed for the trip was reduced by hundred kilometre per hour and consequently time of flight increased by 1 hour find the original duration of flight
Solved
Show answers
More tips
- O Other Childhood Fears: What Many of Us Experienced...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- S Style and Beauty Autotanning: Harmful or Safe?...
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine How to Reduce Sweating in the Heat and Beyond: Say Goodbye to Excessive Sweat...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- H Health and Medicine What to Eat to Lose Weight?...
- A Animals and plants How to Teach Your Parrot to Talk?...
Answers on questions: Mathematics
- M Mathematics Aline parallel to the x-axis could contain which point? choose all that apply. a. (-10,4) b. (2,0) c. (0,2) d. (4,0) e. (0,0) f. (7,3)...
- M Mathematics On a true or false quiz of 4 questions, jose guesses at each answer. what is the probability that he gets all of the questions correct? a. 1/24 b. 1/4 c. 1/8 d. 1/16...
- M Mathematics Identify the property. 2.001 + (-1.004) + (0.997)....
- M Mathematics Solve the following system graphically. click on the graph until the correct solution of the system appears. (pic 1 is part of the question, the rest are the answers)...
- M Mathematics What would be the work for evaluating this expression?...
- M Mathematics In this parallelogram. the measure of...
- M Mathematics How do you find the volume of a prism and cylinder? you...
- M Mathematics Is the equation true, false or open? 4y+8=6y+3...
- M Mathematics Nora is 5 3 tall and standing near the 252 foot tall pilgrim monument in massachusetts. if she casts 9 foot long shadow, find the length of the shadow casted by the monument.show...
- M Mathematics Someone me on brainliest available...
Ответ:
The original duration of the flight is of 5 hours.
Step-by-step explanation:
Given:
Total distance covered by the flight =
km
Let the speed of the flight in normal condition be
km/hr
And the average speed in bad weather = (
) km/hr
Time taken increases when the speed of the flight decreases.
Time taken in normal condition,
=
=
hr
Time taken in bad weather,
hr
Here we can observe the difference of time =
hr
So,
⇒![t_2-t_1 =1](/tpl/images/0541/6017/b2509.png)
⇒![\frac{3000}{(x-100)}-\frac{3000}{(x)} =1](/tpl/images/0541/6017/400db.png)
⇒![\frac{3000(x)-3000(x-100)}{(x)(x-100)} =1](/tpl/images/0541/6017/afb10.png)
⇒![3000(x)-3000(x-100)=(x)(x-100)](/tpl/images/0541/6017/f73da.png)
⇒![3000x-3000x+300,000 =x^2-100x](/tpl/images/0541/6017/e2448.png)
⇒![x^2-100x-30,000=0](/tpl/images/0541/6017/7103a.png)
⇒
using middle term splitting method.
⇒![x(x-600)+500(x-600)=0](/tpl/images/0541/6017/63ba4.png)
⇒![(x+500)(x-600)=0](/tpl/images/0541/6017/0933b.png)
⇒![x=600 ,-500](/tpl/images/0541/6017/6aecf.png)
Note: We can also use quadratic formula directly to find 'x' values.
Discarding the negative value as speed can't be negative.
Speed of the flight in normal condition =
km\hr
Speed of the flight in bad weather =
km\hr
Original duration of the flight = Ratio of distance and speed in normal condition.
⇒ Original duration =
hr
But due to bad weather the duration of the flight will be an hour more that is
hrs.
The original duration of the flight is 5 hours.
Ответ: