Question : An auto-rickshaw travels 20 km from point P to Q and then 25 km from Q to R. The total time taken was 1 hour 30 minutes. What was the average speed of the auto-rickshaw?
Option 1: 15 km/hr
Option 2: 30 km/hr
Option 3: 45 km/hr
Option 4: 60 km/hr
Correct Answer: 30 km/hr
Solution :
Distance from P to Q = 20 km
Distance from Q to R = 25 km
Total distance = 20 + 25 = 45 km
Total time = 1 hour 30 minutes = $1+\frac{30}{60}$ = 1.5 hours
We know that,
$\text{Average speed}=\frac{\text{Total distance}}{{\text{Total time}}}$ = $\frac{45}{1.5}$ = 30 km/hr
Hence, the correct answer is 30 km/hr.
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