Question : A man starts from place A and reaches place B in 50 hours. He travels $\frac{1}{4}$th distance at the speed of 5 km/hr and the remaining distance at the speed of 15 km/hr. What is the distance between A and B?
Option 1: 525 km
Option 2: 500 km
Option 3: 375 km
Option 4: 425 km
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Correct Answer: 500 km
Solution : Let the distance between A and B be $4x$ km. ⇒ Distance covered with speed 5 km/hr = $\frac14 × 4x = x$ ⇒ Time taken = $\frac{\text{distance}}{\text{speed}} = \frac{x}{5}$ ⇒ Remaining distance $=4x - x = 3x$ ⇒ Time taken = $\frac{\text{distance}}{\text{speed}} = \frac{3x}{15}$ ⇒ Total time $=\frac{x}{5} + \frac{3x}{15}= \frac{3x+3x}{15}= \frac{6x}{15}=\frac{2x}{5}$ According to the question, $\frac{2x}{5} = 50$ ⇒ $x = 125$ $\therefore$ Total distance = $4x = 4 × 125= 500$ km Hence, the correct answer is 500 km.
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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 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 : Meena completed a journey in 33 hours. She travels one-fourth distance of the journey at the speed of 60 km/hr and the remaining distance at 40 km/hr. What is the total journey in km?
Option 1: 1220 km
Option 2: 480 km
Option 3: 1440 km
Option 4: 680 km
Question : A person covers a certain distance in 6 hours if he travels at 40 km/hr. If he has covered the same distance in 4 hours, then his speed must be:
Option 1: 50 km/hr
Option 2: 60 km/hr
Option 3: 80 km/hr
Option 4: 70 km/hr
Question : A man walking at the speed of 8 km/hr covers a certain distance in 5 hours and 30 minutes. If he covers the same distance by cycle in 4 hours, then what is the speed of the cycle?
Option 1: 11 km/hr
Option 2: 15 km/hr
Option 3: 8 km/hr
Option 4: 9 km/hr
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