The train descends at twice the speed compared to its ascent, and it travels at 2/3 of the speed uphill relative to flat terrain.
If its speed downhill is measured at 120 miles per hour, its uphill speed would be 120 divided by 2, equaling 60 miles per hour, and its speed on flat ground would be 60 divided by (2/3), simplified to (60 times 3) divided by 2, resulting in 90 miles per hour.
Consequently, for the train to cover 45 miles on flat terrain, the time required is calculated as 45 divided by 90, which is equal to 0.5 hours, or 30 minutes.
Answer:
0.5r
Step-by-step explanation:
If Jerry completed his journey in half the duration that Macy did, it implies Macy's time was twice as lengthy. Assuming Jerry’s speed is r, Macy’s speed would therefore be 0.5r, indicating she travels at half Jerry's pace and takes twice as long to cover the distance.
Answer:
Triangles would be congruent through ASA if Angle A is equal to Angle T.
Triangles would be congruent via AAS if Angle B matches Angle P.
Step-by-step explanation:
It is established that sides AC and TQ are congruent, along with angles BCA and PQT. If angles A and T are equal, we apply the ASA theorem. Similarly, if angle B equals angle P, we reference the AAS theorem.
Since only two options need to be selected, you can conclude your options there.
The answer to your question is x = 8