Nightingale College Intermediate Algebra Questions

A classmate is having trouble in this section. Write down the steps you would use to explain how to solve a rational equation. Make sure to include an example.

Then list a rational equation for your classmates to solve. After, please solve one rational equation that a classmate posted and include your work. Example of type of problems we are on: -2/x = -7/3x – 5

Attached are 10 word problems just need the answer. No work shown necessary

1. Blake can paint a small room in 30 hours. Logan can paint the same room in 20
hours. How long would it take for the two of them together to paint the
room? Express your answer as a decimal. If necessary, round to the nearest
tenth of hour.
Answer:
hours
2. Eduardo can paint a small room in 12 hours. Eduardo and Casey together can paint
the same room in 4 hours. How long would it take for Casey to paint the room alone?
Express your answer as a decimal. If necessary, round to the nearest tenth of hour.
Answer:
hours
3. A boat, which moves at 21 miles per hour in water without a current, goes 60
miles upstream and 60 miles back again in 7 hours. Find the speed of the current to
the nearest tenth.
The speed of the current is
miles per hour.
Enter DNE for Does Not Exist, oo for Infinity
4. A boat, which moves at 13 miles per hour in water without a current, goes 165
miles upstream and 165 miles back again in 26 hours. Find the speed of the
current to the nearest tenth.
The speed of the current is
miles per hour.
Enter DNE for Does Not Exist, oo for Infinity
5. Suppose p varies directly with q and that p=40 when q=8. What is the value
of p when q=3?
p=
6. The money spent, M , purchasing burritos at a particular fast food restaurant varies
directly with the number of burritos purchased, BB . When 40 burritos are purchased,
$140 is spent. How much money is spent if 30 burritos are purchased?
$
7. If a 187 pound man can have 535 mg of a medicine in a day, how much can a 171
pound woman have?
(round answer to one decimal place)
She can have
mg
8. Cellular phone service is available for $49 per month for 1355 minutes. What is the
monthly cost per minute? Round your answer to the nearest tenth of a cent.
The cost per minute for the phone service is
cents
9. A person is standing 15 feet away from a street light that is 15.4 feet tall. How long
is his shadow if he is 5.4 feet tall? Enter the exact value of the answer.
Answer:
feet
10. Ricky flies a plane against a headwind for 2679 miles. The return trip with the
wind took 10 hours less time. If the wind speed is 5 mph, how fast does Ricky fly the
plane when there is no wind?
He flighs
mph

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