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
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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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Question : A bus travels 166 km in 3 hours and then travels the next 2 hours at 134 km/hr. Find the average speed of the bus.
Option 1: 50.4 km/hr
Option 2: 86.8 km/hr
Option 3: 43.8 km/hr
Option 4: 59.4 km/hr
Question : A woman drives a car. During her journey, she travels 20 minutes at a speed of 60 km/hr, another 30 minutes at a speed of 40 km/hr and 1 hour at a speed of 50 km/hr. The average speed of the car is:
Option 1: $\frac{540}{11}$ km/hr
Option 2: $\frac{630}{11}$ km/hr
Option 3: $\frac{100}{11}$ km/hr
Option 4: $\frac{90}{11}$ km/hr
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
Question : A car travels 80 km in the first hour and 70 km in the second hour. What is the average speed of the car?
Option 1: 150 km/hr
Option 2: 80 km/hr
Option 3: 75 km/hr
Option 4: 100 km/hr
Question : A car travels at the speed of 40 km/hr for the first hour and 60 km/hr for the next hour. What will be the average speed of the car?
Option 1: 60 km/hr
Option 2: 40 km/hr
Option 3: 50 km/hr
Option 4: 45 km/hr
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