A truck covers 368 km in 8 h (constant speed). A car travels 16 km farther than the truck at a speed 18 km/h faster than the truck. How many hours will the car take to cover its distance?

Difficulty: Easy

Correct Answer: 6 h

Explanation:


Introduction / Context:
Comparative speed problems often require first extracting one vehicle’s speed, then applying adjustments to distance and speed for the second vehicle to compute time. Keeping units consistent simplifies the calculation.


Given Data / Assumptions:

  • Truck: distance 368 km, time 8 h ⇒ speed = 46 km/h.
  • Car: speed = 46 + 18 = 64 km/h.
  • Car distance = 368 + 16 = 384 km.


Concept / Approach:
Time = distance / speed. Compute truck speed first, then plug in the car’s parameters to find time needed for 384 km at 64 km/h.


Step-by-Step Solution:

Truck speed = 368 / 8 = 46 km/h.Car speed = 64 km/h; car distance = 384 km.Car time = 384 / 64 = 6 h.


Verification / Alternative check:
At 64 km/h, 6 hours covers 384 km exactly (64 * 6 = 384).


Why Other Options Are Wrong:
5 h would cover 320 km; 7 h gives 448 km; 8 h 512 km—none match 384 km at 64 km/h.


Common Pitfalls:
Forgetting to add both the distance and speed increments; mixing up which value applies to which vehicle.


Final Answer:
6 h

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