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Velocity = Distance ÷ Time : therefore Time = Distance ÷ Velocity.

Let the distance travelled at 40mph be 'x' miles, then the distance travelled at 60mph is 410 - x.

Then 7 = x/40 + (410 - x)/60 : which leads to 20x = 16800 - 16400 : x = 20

Thus Sam travels 20 miles at 40mph (taking 1/2 hour) and 390 miles at 60mph (taking 61/2 hours).

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Q: Sam drove a distance of 410 miles in 7 hours for the first part of the trip his average speed was 40 miles per hour and for the remainder of the trip his average speed was 60 miles per hour how long d?
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