Two trucks leave a warehouse at the same time. one travels due north at an average speed of 62 miles per hour, and the other travels due south at an average speed of 61 miles per hour. after how many hours will the two trucks be 676.5 miles apart?

Respuesta :

The number of hours that the two trucks will be  676.5 miles apart is 11 hours.

Number of hours

Distance = Rate x Time

D =  676.5 miles

Hence,

D = Average rate x Time

676.5 miles miles = (62mph + 61mph)/2 x Time

676.5 miles / (123mph/2)

676.5 miles / 61.5mph

= 11 hours

The total time is 11 hours, which means that each driver will drive for 5.5 hours.

Proof:

62mph x 5.5h + 61mph x 5.5h

= 341m + 335.5m

=676.5  mile

Inconclusion the number of hours that the two trucks will be  676.5 miles apart is 11 hours.

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