Answer:
1 hour
Step-by-step explanation:
The speed ratio is ...
... truck : car = 1 : 1.5
Then the ratio of truck speed to the sum of their speeds is ...
... truck : combined = 1 : (1+1.5) = 1 : 2.5
Since time is inversely proportional to speed, the two vehicles will meet after 1/2.5 times the time the truck takes to cover the distance. That is ...
... (2.5 hours)/2.5 = 1 hour
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The truck speed is 145 mi/(2.5 h) = 58 mi/h.
The car speed is 1.5 × 58 mi/h = 87 mi/h.
Their combined speed is 58 + 87 = 145 . . . . mi/h.
So, they will cover the 145 mile distance in 1 hour.
