Question

Distance, Rate, and Time Relationship

On Wednesday you drove from home to work at 69 mph and got there in 32 minutes. On Thursday you drove at 77 mph.

Use the formula: R1T1 = R2T2, R is how fast and T is time.
Round answers to the nearest 10th

How long does the trip take on Thursday in minutes?

How much time did you save by driving 8 mph faster?
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Answer 1

• 28.7 minutes on Thursday
• 3.3 minutes were saved

Explanation:

R1·T1 = (69 mph)(32 min) = 2208 (mi·min/h)

R2·T2 = 2208 (mi·min/h) = (77 mi/h)·T2

T2 = 2208/77 min ≈ 28.7 min . . . . . travel time on Thursday

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Time saved was 32 -28.7 = 3.3 . . . minutes were saved