Podcast
Questions and Answers
What is Ajay's speed after he doubles it?
What is Ajay's speed after he doubles it?
- 2 km/hr
- 16 km/hr
- 8 km/hr (correct)
- 4 km/hr
How many hours does Ajay walk at his initial speed of 4 km/hr?
How many hours does Ajay walk at his initial speed of 4 km/hr?
- 4 hours
- 6 hours (correct)
- 12 hours
- 3 hours
What is the distance covered by Ajay at his initial speed?
What is the distance covered by Ajay at his initial speed?
- 48 km
- 36 km
- 12 km
- 24 km (correct)
How many hours does Ajay walk at his doubled speed of 8 km/hr?
How many hours does Ajay walk at his doubled speed of 8 km/hr?
What is the distance covered by Ajay at his doubled speed?
What is the distance covered by Ajay at his doubled speed?
Flashcards
Ajay's initial speed
Ajay's initial speed
Ajay walks at a speed of 4 km/hr.
Doubling speed
Doubling speed
Ajay doubles his speed after halfway, going 8 km/hr.
Total walking time
Total walking time
Ajay walks for a total of 12 hours.
Distance traveled in the first half
Distance traveled in the first half
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Total distance calculation
Total distance calculation
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Study Notes
Problem Description
- Ajay walks at 4 km/hr.
- He doubles his speed after walking halfway.
- He walks for a total of 12 hours.
- Find the total distance travelled.
Speed and Time Calculation
- Let the total distance be 'd' km.
- Half the distance is 'd/2' km.
- Time taken to walk 'd/2' km at 4 km/hr is (d/2) / 4 = d/8 hours.
- Time taken to walk the remaining 'd/2' km at 8 km/hr is (d/2) / 8 = d/16 hours.
- Total time taken is d/8 + d/16 = 3d/16 hours.
- Given total time is 12 hours. So, 3d/16 = 12.
Solving for Distance
- Solving for 'd': 3d = 12 * 16
- d = 192 / 3 = 64 km
Answer
- The total distance travelled is 64 km.
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