9514 1404 393
Answer:
9
Step-by-step explanation:
3/4 of the distance is ...
(3/4)(540 mi) = 405 mi
The relationship between distance, speed, and time is ...
time = distance/speed
time = (405 mi)/(45 mi/h) = 9 h
It will take Tameron 9 hours to get 3/4 of the way there.
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Alternate solution
Tameron can go 3/4 of the distance in the same time it would take to go the full distance if he were driving 4/3 times as fast. (4/3)(45 mph) = 60 mph.
time = (540 mi)/(60 mi/h) = 9 h
Effectively, we have done the same calculation ...
[tex]\dfrac{\dfrac{3}{4}(540\text{ mi})}{45\text{ mi/h}}=\dfrac{540\text{ mi}}{\dfrac{4}{3}(45\text{ mi/h})}=9\text{ h}[/tex]
