Pre-Calculus

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1. Your paycheck varies...

1. Your paycheck varies directly as the number of hours you work if your paycheck is $182.60 for 22 hours, find your pay for 10 hours. Your pay is $____

2. One hose can fill a swimming pool in 24 hours. A hose from the neighbor's house can fill the swimming pool in 64 hours. If the two hoses ran at the same time, how long does it take to fill the swimming pool?

It would take ______ hours for both hoses running at the same time to fill the swimming pool.

(Simplify your answer. Type an integer, fraction, or mixed number.)

3. Jared is training for a cross-country cycling race. He rode 62 miles in 2 hours. After the first 50 miles through the foothills, he increased his speed by 6 mph on flat roads for the last 12 miles. Find Jared's cyclic speed through the foothills.

Jared's cycling speed through the foothills was ______ miles per hour. (Simplify your answer.)

4. One hose can fill a swimming pool in 66 hours. A hose from a neighbor's house and build a swimming pool and 77 hours. If the two hoses run at the same time, how long does it take to fill the swimming pool?

(Simplify your answer. Type an integer, fraction, or mixed number.)

5. John and Dwight clean an entire building in 2 hours. John can clean the entire building by himself in three fewer hours than Dwight can. How long does it take John to clean the building by himself?

It would take John ______ hour(s) to clean the building by himself.

(Simplify your answer.)

6. Be some of the reciprocal of a number and 1/7 is 10/21. Find the number. The number is *****

2. One hose can fill a swimming pool in 24 hours. A hose from the neighbor's house can fill the swimming pool in 64 hours. If the two hoses ran at the same time, how long does it take to fill the swimming pool?

It would take ______ hours for both hoses running at the same time to fill the swimming pool.

(Simplify your answer. Type an integer, fraction, or mixed number.)

3. Jared is training for a cross-country cycling race. He rode 62 miles in 2 hours. After the first 50 miles through the foothills, he increased his speed by 6 mph on flat roads for the last 12 miles. Find Jared's cyclic speed through the foothills.

Jared's cycling speed through the foothills was ______ miles per hour. (Simplify your answer.)

4. One hose can fill a swimming pool in 66 hours. A hose from a neighbor's house and build a swimming pool and 77 hours. If the two hoses run at the same time, how long does it take to fill the swimming pool?

(Simplify your answer. Type an integer, fraction, or mixed number.)

5. John and Dwight clean an entire building in 2 hours. John can clean the entire building by himself in three fewer hours than Dwight can. How long does it take John to clean the building by himself?

It would take John ______ hour(s) to clean the building by himself.

(Simplify your answer.)

6. Be some of the reciprocal of a number and 1/7 is 10/21. Find the number. The number is *****

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