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Bikesville is 200 miles from Restsville. Jasmine can complete the entire trip in 8 hours, and Monte takes two hours longer than Jasmine to complete the entire trip. If one begins in Bikesville and the other in Restville, then approximately how long will it take them to meet?

Respuesta :

Answer: It will take 4.44 hours to meet.

Step-by-step explanation:

Since we have given that

Distance between Bikesville to Restsville = 200 miles

Number of hours Jasmine finish the entire trip = 8 hours

Number of hours Monte finish the entire trip = 8 + 2 = 10 hours

Speed of Jasmine is given by

[tex]\dfrac{200}{8}\\\\=25\ mph[/tex]

Speed of Monte is given by

[tex]\dfrac{200}{10}=20\ mph[/tex]

According to question,

If one begins in Bikesville and the other in Restville,

So, Relative speed would be

25+20 = 45 mph as they are moving in the opposite directions.

So, time taken would be

[tex]time=\dfrac{Distance}{Speed}\\\\Time=\dfrac{200}{45}\\\\Time=4.44\ hours[/tex]

Hence, it will take 4.44 hours to meet.