Question

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 1

Data:

• Distance ( ,D ,)= 144 miles

,

• Time ( ,t ,) = 4 hours

,

• Speed of Ahmed (,A,): unknown

,

• Speed of Blake (,B,): unknown

,

• Formula of speed:

`D=(speed)/(t)`

Procedure:

• As Blake travels 8 mph faster than Ahmed

`B=8+A`

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

`B+A=(8+A)+A=2A+8`

Using the distance formula, we can find the speed:

`D=(2A+8)/(t)`
`2A+8=D\cdot t`
`2A=D\cdot t-8`
`A=(D\cdot t-8)/(2)=(144\cdot4-8)/(2)=284`

To know the speed of Blake:

`B=284+8=292`

Answer:

• Blake = 292 mph

,

• Ahmed = 284 mph