Question : A truck travels at 90 km/h for the first $1\frac{1}{2}$ hours. After that, it travels at 70 km/h. Find the time taken by the truck to travel 310 km.
Option 1: 2.5 hours
Option 2: 3 hours
Option 3: 3.5 hours
Option 4: 4 hours
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Correct Answer: 4 hours
Solution :
The distance covered in the first $1\frac{1}{2}$ hours at 90 km/h.
Distance = Speed × Time = 90 × 1.5 = 135 km
So, the remaining distance = 310 – 135 = 175 km
The time is taken to cover the remaining distance at a speed of 70 km/h.
Also, Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{175}{70}$ = 2.5 hours
So, the total time = 1.5 + 2.5 = 4 hours.
Hence, the correct answer is 4 hours.
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