Two fire hoses are used to extinguish a fire. hose a, when turned on alone, can extinguish the fire in 7 minutes, while hose b takes "n" minutes more time than hose a. find an expression (in terms of "n") for how much of the fire they will extinguish in 1 minute when both hoses are turned on together.

The expression in terms of "n" for how much of the fire they will extinguish in 1 minute when both hoses are turned on together is

Solution:

Given that,

Hose A, when turned on alone, can extinguish the fire in 7 minutes

Hose B takes "n" minutes more time than hose A

Hose takes (n + 7) minutes to extinguish the fire

STEP 1: Calculate how much work (here work is to extinguish the fire) each person does in one minute

STEP 2: Add up the amount of work done by each person in one minute

Work done in one minute when both are working together:

Therefore, the expression in terms of "n" for how much of the fire they will extinguish in 1 minute when both hoses are turned on together is:

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above