Question : A bus travels first 100 km at a speed of 100 km/hr. It covers the next 150 km at a speed of 90 km/hr. What is the average speed?
Option 1: 120.50 km/hr
Option 2: 93.75 km/hr
Option 3: 100.25 km/hr
Option 4: 156.25 km/hr
Correct Answer: 93.75 km/hr
Solution :
Given: A bus travels first 100 km at a speed of 100 km/hr. It covers the next 150 km at a speed of 90 km/hr.
Time to cover the first 100 km at a speed of 100 km/hr = $\frac{100}{100}$ = 1 hour
Time to cover the next 150 km at a speed of 90 km/hr = $\frac{150}{90}$ = $\frac{5}{3}$ hours
Now, the total distance = 100 + 150 = 250 km
and the total time taken = 1 + $\frac{5}{3}$ = $\frac{8}{3}$ hours
So, the average speed = $\frac{\text{Total distance}}{\text{Total time}}=\frac{250}{\frac{8}{3}}=250×\frac{3}{8}= 93.75$ km/hr
Hence, the correct answer is 93.75 km/hr.
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