Question : A bus travels at 100 km/hr for the first $\frac{1}{2}$ hour. Later it travels at 80 km/hr. Find the time taken by the bus to travel 290 km.
Option 1: 4 hours
Option 2: 3.5 hours
Option 3: 3 hours
Option 4: 2.5 hours
Correct Answer: 3.5 hours
Solution :
In the first half hour (or 0.5 hours), the bus travels at 100 km/hr.
It covers a distance of 100 × 0.5 = 50 km.
This means the bus still has to travel 290 – 50 = 240 km at a speed of 80 km/hr.
The time taken to travel this remaining distance = $\frac{240}{80}$ = 3 hours
The total time taken by the bus to travel 290 km = 0.5 + 3 = 3.5 hours
Hence, the correct answer is 3.5 hours.
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