Home
Class 12
MATHS
A particular train travels from Town A t...

A particular train travels from Town A to Twon B at x miles per hour, and then from Twon B to Twon C at 1.2 x miles per hour.
`{:("Quantity A","Quantity B"),("The train's travel time from","The train's travel time from"),("Town A to Twon B","Town B to Twon C"):}`

A

Quantity A is greater.

B

Quantity B is greater.

C

The two quantities are equal.

D

The relationship cannot be determined from the infromation given.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the travel times for the train from Town A to Town B and from Town B to Town C, and then compare these two times. ### Step-by-Step Solution: 1. **Define Variables**: - Let the distance from Town A to Town B be \( D_{AB} \). - Let the distance from Town B to Town C be \( D_{BC} \). - The speed from Town A to Town B is \( x \) miles per hour. - The speed from Town B to Town C is \( 1.2x \) miles per hour. 2. **Calculate Time from Town A to Town B**: - Using the formula for time, \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \): \[ T_{AB} = \frac{D_{AB}}{x} \] 3. **Calculate Time from Town B to Town C**: - Similarly, for the travel from Town B to Town C: \[ T_{BC} = \frac{D_{BC}}{1.2x} \] 4. **Comparison of Times**: - We need to compare \( T_{AB} \) and \( T_{BC} \): \[ T_{AB} = \frac{D_{AB}}{x} \quad \text{and} \quad T_{BC} = \frac{D_{BC}}{1.2x} \] - Since we do not have any specific values or relationship between \( D_{AB} \) and \( D_{BC} \), we cannot determine which time is greater without additional information. 5. **Conclusion**: - Since there is no relationship provided between the distances \( D_{AB} \) and \( D_{BC} \), we cannot definitively compare \( T_{AB} \) and \( T_{BC} \). Therefore, we conclude that the comparison cannot be made. ### Final Answer: - The relationship between the travel times \( T_{AB} \) and \( T_{BC} \) cannot be determined with the information given.
Promotional Banner

Similar Questions

Explore conceptually related problems

Tavi drives 113 miles at 50 miles per hour and returns via the same route at 60 miles per hour. {:("Quantity A","Quantity B"),("Tavi's average speed for the",55mph),("entire round trip",):}

{:("Quantity A","Quantity B"),("the sum of the",13),("consecutive integer",),("from - 12 to 13",):}

The distance between cities A and B car travels from A to B at 60 miles per hour and returns from B to A long the same route at 40 miles per hour. What is the averge speed for the round trip?

A bullet train can cover the 420 kilometers between Xenia nad York at a rate of 240 kilometers per hour. {:("Quantity A","Quantity B"),("The number of minutes it will",110),("take the train to travel from",),("Xenia to York",):}

A particle travels from A to B path shown in figure, then the displacement of particle is : .

A car travels from Twon A to Twon B at an average speed of 40 miles per hour, and returns immediately along the same route at an average speed of 50 miles per hour. What is the average speed in miles per hour for the round - trip?

A town's population rose 40% from 2006 to 2007. The 2007 population was 10,080. {:("Quantity A","Quantity B"),("The 2006 population","7,000"):}

A motot boat traveling at 18 miles per hour traveled the length of a lake in one-quarter of an hour less time than it took when travelling at 12 miles per hour. What was the length in miles of the lake?

Now in Twon B, Biker Bob walked 10 miles due west, and then straight north to Twon C. If Twon B and Twon C are 26 miles apart, how many miles north did he go? (Again, assume perfectly flat terrain.)