Question : A train covers a certain distance at a speed of 80 km/hr in 6 hours. Find the speed of the train for covering the same distance in 5 hours.
Option 1: 96 km/hr
Option 2: 86 km/hr
Option 3: 90 km/hr
Option 4: 88 km/hr
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Correct Answer: 96 km/hr
Solution : Given: A train covers a certain distance at a speed of 80 km/hr in 6 hours. Use the formula, $\text{Speed}=\frac{\text{distance}}{\text{time}}$ Let the train's distance be $x$ km. According to the question, $80=\frac{x}{6}$ ⇒ $x=480$ km The speed of the train for covering the same distance in 5 hours $=\frac{480}{5}=96$ km/hr Hence, the correct answer is 96 km/hr.
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Question : A train covers a certain distance in 210 minutes at a speed of 60 km/hr. The time taken by the train, to cover the same distance at a speed of 80 km/hr is:
Option 1: $3\frac{5}{8}\ \text{hours}$
Option 2: $2\frac{5}{8}\ \text{hours}$
Option 3: $4\frac{5}{8}\ \text{hours}$
Option 4: $3\ \text{hours}$
Question : An aeroplane covers a certain distance at a speed of 400 km/hr in 8 hours. To cover the same distance in 5 hours, the speed of the aeroplane will be:
Option 1: 640 km/hr
Option 2: 680 km/hr
Option 3: 580 km/hr
Option 4: 600 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
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 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
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