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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Question : A person travels a distance of 240 km, partly by train and the rest by bus. He takes $3 \frac{1}{2}$ hours if he travels 150 km by train and the rest by bus. If he travels 140 km by bus and the rest by train, he takes $3 \frac{2}{3}$ hours. What is the speed of the train?
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