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# Algebra Word Problems Help

[From: ] [author: ] [Date: 11-07-08] [Hit: ]
400 miles apart?2.A professional baseball player makes 168 hits over a season. Of these, the number of singles is 5 less than three times the number of extra base hits. How many extra base hits did the player make?......
Two planes start from the same airport at the same time and travel in opposite directions. If the first plane travels at an average speed of 240 mph and the second plane travels at an average speed of 320 mph, in how many hours will the planes be 1,400 miles apart?

2.A professional baseball player makes 168 hits over a season. Of these, the number of singles is 5 less than three times the number of extra base hits. How many extra base hits did the player make?

3. A mechanic earns \$5 more per hour than his helper. On a six-hour job the two men earn a total of \$114. How much does each earn per hour?

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d1=distance of plane 1 traveled
d2=distance of plane 2 traveled
d(t)=total distance apart = d1 + d2
t1=t2 (time apart is going to be same for d1 and d2)
d1=1400-d2
1400-d2/240 = d2/320
cross multiply
d2=800 mi and d1=600 mi
t1=t2=d2/240=d2/320
or t1 = t2 = 2.5 hrs.

total # hits = singles + extra base hits = 168
x=#singles; y=#extra base hits
x=3y-5 ; x+y=168
3y-5 + y = 168
4y=173

m=h+5
m=mechanic earnings over 6hrs; h=helper earnings over 6hrs
in one hr., m makes 1/6 (m)
in one hr., h makes m-5)
both men make 1/6th of total amt. together or \$114/6=\$19 per hr.
m/6 + h/6 = 19 or m+h=19*6
after plugging in everything you get
7m=19*36+6
7m=690
m=98.57 \$ in 6hrs or \$16.43per hr and h=16.43-5=11.43

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Post one question at a time.

3. A mechanic earns \$5 more per hour than his helper. On a six-hour job the two men earn a total of \$114. How much does each earn per hour?

Let M = Mechanic

Let h = helper

M = h + 5
M + h = 114

The above is your system of linear equations in two variables.

======================================…

h + 5 + h = 114

2h + 5 = 114

2h = 114 - 5

2h = 109

h = 109/2

h = \$54.50

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M + h = 114

M + 54.50 = 114

M = 114 - 54.50

M = \$59.50

The Mechanic earns \$59.50 per hour and his helper \$54.50 per hour.
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