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babymother [125]
3 years ago
10

Frank and Gregory leave Centreville traveling in opposite directions on a straight road. Gregory drives 22 miles per hour faster

than Frank. After 2.25 hours, they are 216 miles apart. Find Frank's speed and Gregory's speed.
Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

<h2>Frank speed = 37mi/h</h2><h2>Gregory speed = 59mi/hr</h2>

Step-by-step explanation:

Let the speed of Frank be x and speed of Gregory be y. If Gregory drives 22 miles per hour faster than Frank, then y = 22+x. SInce they they are 216miles apart after 2.25 hours,

Speed = Distance/Time

Total time travelled by them = 2.25hours

Total distance = 216 hours

Total speed = x+y = x+22+x

Substituting this parameters into the formula given to get x we will have;

x+22+x = 216/2.25

2x+22 = 96

2x = 96-22

2x = 74

x = 74/2

x = 37

<em>Hence the speed of Frank is 37miles per hour while that of gregory is 37+22 = 59miles/hour</em>

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