Caselets

Q: What is the total time taken by the car to complete the entire journey from City A back to City A?

Correct Answer: Option B (15 hours 10 mins). Time from A to B = 300 / 50 = 6 hours. Time from B to C = 200 / 40 = 5 hours. Time from C to A = 250 / 60 = 25/6 hours = 4 hours and (1/6 * 60) mins = 4 hours 10 mins. Total Time = 6 + 5 + 4 hrs 10 mins = 15 hours 10 mins.

Q: What is the average speed of the car for the entire journey (rounded to two decimal places)?

Correct Answer: Option B (49.45 km/hr). Total distance = 300 + 200 + 250 = 750 km. Total time = 15 hours 10 mins = 91/6 hours. Average Speed = Total Distance / Total Time = 750 / (91/6) = 4500 / 91 ≈ 49.45 km/hr.

Q: What is the average speed for the journey segment from City A to City C (via City B)?

Correct Answer: Option B (45.45 km/hr). Total distance (A to C via B) = 300 + 200 = 500 km. Total time = 6 + 5 = 11 hours. Average Speed = 500 / 11 = 45.45 km/hr.

Q: If the car had maintained a uniform speed of 60 km/hr for the entire 750 km journey, how much time would it have saved?

Correct Answer: Option B (2 hours 40 mins). Actual time taken = 15 hours 10 mins. New time at 60 km/hr = 750 / 60 = 12.5 hours = 12 hours 30 mins. Time saved = (15 hrs 10 mins) - (12 hrs 30 mins). Convert to mins: 910 - 750 = 160 mins. 160 mins = 2 hours 40 mins.

Q: What is the ratio of the time taken to travel from A to B to the time taken to travel from B to C?

Correct Answer: Option C (6:5). Time (A to B) = 6 hours. Time (B to C) = 5 hours. Ratio = 6 : 5.

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Caselet Context & PassageSet 4: Time, Speed & Distance

A car travels from City A to City B, a distance of 300 km, at a uniform speed of 50 km/hr. Upon reaching City B, it immediately travels to City C, a distance of 200 km, at a uniform speed of 40 km/hr. Finally, the car returns directly from City C to City A, traversing a distance of 250 km at a uniform speed of 60 km/hr.

Q36

What is the total time taken by the car to complete the entire journey from City A back to City A?

hard

Q37

What is the average speed of the car for the entire journey (rounded to two decimal places)?

hard

Q38

What is the average speed for the journey segment from City A to City C (via City B)?

hard

Q39

If the car had maintained a uniform speed of 60 km/hr for the entire 750 km journey, how much time would it have saved?

hard

Q40

What is the ratio of the time taken to travel from A to B to the time taken to travel from B to C?

hard

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Caselets

What is the total time taken by the car to complete the entire journey from City A back to City A?

Community Discussion & Shortcut Formulas

What is the average speed of the car for the entire journey (rounded to two decimal places)?

Community Discussion & Shortcut Formulas

What is the average speed for the journey segment from City A to City C (via City B)?

Community Discussion & Shortcut Formulas

If the car had maintained a uniform speed of 60 km/hr for the entire 750 km journey, how much time would it have saved?

Community Discussion & Shortcut Formulas

What is the ratio of the time taken to travel from A to B to the time taken to travel from B to C?

Community Discussion & Shortcut Formulas