Question

A truck covers a distance of 368 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 km/h more than that of the truck to cover a distance which is 16 km more than that traveled by the truck?

• A. 7 hours
• B. 5 hours
• C. 6 hours
• D. 8 hours

Hint:

Speed = Distance / Time. Use given speeds and distances to find missing time or speed.
Add or subtract distances or speeds carefully before calculations.

Answer 1

The Correct Option is C

Step 1: Calculate the speed of the truck
Speed = $\frac{\text{Distance}}{\text{Time}} = \frac{368}{8} = 46$ km/h
Step 2: Calculate the speed of the car
Car's speed = $46 + 18 = 64$ km/h
Step 3: Calculate distance traveled by the car
Distance = $368 + 16 = 384$ km
Step 4: Calculate time taken by the car
Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{384}{64} = 6$ hours
Therefore, the car will take 6 hours to cover the distance.