Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple
choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay.
How many points was each multiple choice question worth?
How many points was each multiple choice question worth?
2 answers:
You might be interested in
Answer:
The speed of wind is 30 miles/hour
Speed of plane in still air is 108 miles /hour
Step-by-step explanation:
Distance traveled by plane to Bangkok = 1794 miles
The trip there was with the wind. Time taken = 13 hours.
The trip back was into the wind. The trip back took 26 hours.
Let s = plane speed in still air
let w = speed of the wind
(s+w) = speed of plane with wind
(s-w) = speed of plane against wind
Distance = Speed * Time
When the trip was with the wind .
⇒
⇒
⇒ ---1
When The trip back was into the wind.
⇒
⇒
⇒ ---2
Add 1 and 2
⇒s+w+s-w =138+78
⇒2s =216
⇒
⇒
To find w substitute the value of s in 1
⇒
⇒
⇒
Thus the speed of wind is 30 miles/hour
Speed of plane in still air is 108 miles /hour