Answer:
3 hours
26 baskets each giving a total of 52 baskets
Explanation:
Jack has already filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. This means that in x hours he would have filled an additional 5x basket to the initial 11 baskets. Therefore the number of baskets that Jack would have filled in x hours can be given by:
11 + 5x
Emma has already filled 8 baskets with apples and is filling them at a rate of 6 baskets per hour. This means that in x hours he would have filled an additional 6x basket to the initial 11 baskets. Therefore the total number of baskets that Emma would have filled in x hours can be given by:
8 + 6x.
The time it would take Emma and Jack to have completed the same number of baskets can be gotten by using this equation and solving for x:
11 + 5x = 8 + 6x
11 - 8 = 6x - 5x
x = 3 hours.
It would take them 3 hours to fill the same number of baskets.
The number of fruits Jack would have picked in 3 hours = 11 + 5(3) = 26 baskets.
The number of fruits Emma would have picked in 3 hours = 8 + 6(3) = 26 baskets.
Both Emma and Jack would have picked 26 baskets each, giving a total of 52 baskets