Question : A truck covers a distance of 540 km at a certain speed in 9 hours. How much time would a car take at an average speed which is 16 km/hr more than that of the speed of the truck to cover a distance which is 68 km more than that travelled by the truck?
Option 1: 10 hours
Option 2: 8 hours
Option 3: 6 hours
Option 4: 12 hours
Correct Answer: 8 hours
Solution :
Distance covered by truck = 540 km
Time taken by truck = 9 hours
$\therefore$ Speed of the truck = $\frac{\text{Distance}}{\text{Time}} = \frac{540}{9} = 60$ km/hr
Average speed of car = 16 + 60 = 76 km/hr
Total distance to be covered by car = 68 + 540 = 608 km
$\therefore$ Time taken by car = $\frac{\text{Total distance}}{\text{Speed}}$ = 8 hours
Hence, the correct answer is 8 hours.
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