Page 49 - Algebra 1

Linear Equation Word Problems
1. Samantha takes a steamer and travels 20 km up the stream and 15 km down the stream in 12 hours. In 14 hours, it can go 25 km up the stream and 30 km down the stream. What is the speed of the steamer in still water?
a) 25 km/hr 6
c) 25 km/hr 4
e) 25 km/hr 8
b) 4 km/hr d) 6 km/hr
2. John invested a certain amount at 12% simple interest and another amount at the rate of 15% simple interest. Through his two investments, he received an annual interest of $225.6. But, if he had interchanged the amount, he would have received $29.4 more interest. Find the amount he invested?
a) $400 and $1000
c) $500 and $1280
e) $400 and $1380
3.
4.
5.
b) 360
d) 240
Julie walks from her home to the school at a certain speed. When she walks 2 km/hour faster,
b) $425 and $1380
d) $400 and $1025
Workers in a factory are made to stand in a row. If four workers are more in a row, the manager
would have to form three rows less. If two workers are less, the manager will form two rows
more. Find the number of workers in the factory.
a) 420
c) 300
e) None of the above
she takes 4 hours less to reach the school. But, when she walks 4 km/hour slower, she takes 12
hours more. Find the distance between the home and school.
a) 12 km
b) 16 km
c) 28 km
d) 32 km
e) Cannot be determined
4 women and 6 girls can finish construction work in 15 days. 2 women and 5 girls can finish the
same work in 20 days. Find the time taken by one woman to alone finish the job?
a) 120 days
b) 180 days
c) 200 days
d) 240 days
e) 300 days
Page 48 of 54
ALGEBRA