Jessica can bike an average of 15 mph without wind. One day, Jessica does a 20 mile ride against the wind in the same time that she does a 40 mile ride with the wind. What is the speed of the wind?

the speed of the wind is 5mph

Step-by-step explanation:

Let x represent the speed of the wind.

Jessica can bike an average of 15 mph without wind. One day, Jessica does a 20 mile ride against the wind in the same time that she does a 40 mile ride with the wind. This means that her total speed against the wind is (15 - y) mph and her total speed with the wind is (15 + y) mph.

Time = speed × time

Time spent in travelling against the wind is

20/(15 - y)

Time spent in travelling with the wind is

40/(15 + y)

Since the time is the same, it means that

20/(15 - y) = 40/(15 + y)

Cross multiplying, it becomes

40(15 - y) = 20(15 + y)

600 - 40y = 300 + 20y

20y + 40y = 600 - 300

60y = 300

y = 300/60

y = 5 mph

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29