x¼30 miles per hour
xþ 5 ¼ 30 þ 5 ¼35 miles per hour- Lett¼the time of the planes.
Rate Time ¼ Distance
Plane one 150 t 150 tPlane two 100 t 100 tThe total distance is 500 miles since they are going in opposite
directions.150 tþ 100 t¼ 500
250 t¼ 500
2501 t
2501¼
500
250
t¼2 hours- Letx¼the speed (rate) of the first person and 2x¼the rate of the
second person.
Rate Time ¼ Distance
First person x 22 xSecond person 2 x 2 2(2x)The total distance is 10.5 miles since they are going in opposite
directions.2 xþ 2 ð 2 xÞ¼ 10 : 5
2 xþ 4 x¼ 10 : 5
6 x¼ 10 : 5
61 x
6¼
10 : 5
6
x¼ 1 :75 miles per hour
2 x¼ 2 1 : 75 ¼ 3 :5 miles per hour138 LESSON 13 Solving Distance Problems