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Applying Algebraic Formulas

1. Against the wind small plane 858 miles in 2 hours an 10 min. Return trip took 1 hr. and 50 min.
What was the speed of the wind?
What was the speed of the plane in still air?

2. A basketball scored 12 times during 1 game. He scored a total of 19 points, 2 for each 2 point shot, and 1 for each free throw.
How many 2 pt. shots did he make?
How many free throws?

3. 91 passengers rode in a train from city A to city B. Tickets for regular seats go for $117.Tickets for sleeper cars go for $283. Receipts for the trip ttl. $18,117.
How many passengers purchased each type of ticket?

Solution Preview

1. Against the wind small plane 858 miles in 2 hours an 10 min.
Return trip took 1 hr. and 50 min.
What was the speed of the wind?
What was the speed of the plane in still air?

Use the formula speed =distance / time

130 minutes = 2 hours and 10 mins,
130 mins x (1hr / 60 mins) = 13/6 hr

1 hr and 50 minutes = 110 mins
110 mins x (1hr / 60 mins) = 11/6 hr

Speed for plane ...

Solution Summary

Algebraic formulas are applied.

$2.19