Answered

Ahmed is 144 miles away from Blake. They are traveling towards each other. If Blake travels 8 mph fasterthan Ahmed and they meet after 4 hours, how fast was each traveling?

Answer :

Data:

• Distance ( ,D ,)= 144 miles

,

• Time ( ,t ,) = 4 hours

,

• Speed of Ahmed (,A,): unknown

,

• Speed of Blake (,B,): unknown

,

• Formula of speed:

[tex]D=\frac{speed}{t}[/tex]

Procedure:

• As Blake travels 8 mph faster than Ahmed

[tex]B=8+A[/tex]

Since they are traveling towards each other, we can add up their speeds as follows:

[tex]B+A=(8+A)+A=2A+8[/tex]

Using the distance formula, we can find the speed:

[tex]D=\frac{2A+8}{t}[/tex][tex]2A+8=D\cdot t[/tex][tex]2A=D\cdot t-8[/tex][tex]A=\frac{D\cdot t-8}{2}=\frac{144\cdot4-8}{2}=284[/tex]

To know the speed of Blake:

[tex]B=284+8=292[/tex]

Answer:

• Blake = 292 mph

,

• Ahmed = 284 mph

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