Question : Krish takes as much time to run 24 metres as a bus takes covering 72 metres. What will be the distance covered by Krish during the time the bus covers 4.8 km?
Option 1: 2.4 km
Option 2: 3.6 km
Option 3: 2.1 km
Option 4: 1.6 km
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Correct Answer: 1.6 km
Solution : Time taken in running 24 metres = time taken by bus in covering 72 metres Time = $\frac{\text{distance}}{\text{speed}}$ ⇒ $\frac{d_1}{\text{speed of krish}} = \frac{d_2}{\text{speed of bus}}$ ⇒ $\frac{\text{speed of bus}}{\text{speed of krish}} = \frac{d_2}{d_1}$ -----------(i) ⇒ $\frac{\text{speed of bus}}{\text{speed of krish}} = \frac{72}{24} = \frac{3}{1}$ Let $x$ be the distance Krish covers when the bus covers 4.8 km. $\frac{3}{1} = \frac{4.8}{x}$ $\therefore x =\frac{4.8}{3} = 1.6$ Hence, the correct answer is 1.6 km.
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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 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
Question : A man covers half part of a certain distance at 35 km/hr. He covers 40 percent of the remaining distance at the speed of 8 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: $\frac{920}{47}$ km/hr
Option 2: $\frac{680}{47}$ km/hr
Option 3: $\frac{840}{47}$ km/hr
Option 4: $\frac{760}{47}$ km/hr
Question : A man covers half part of a certain distance at 25 km/hr. He covers 40% of the remaining distance at the speed of 8 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: $\frac{650}{37}$ km/hr
Option 2: $\frac{540}{37}$ km/hr
Option 3: $\frac{600}{37}$ km/hr
Option 4: $\frac{480}{37}$ km/hr
Question : A man covers half part of a certain distance at 15 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 21 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{140}{9}$ km/hr
Option 2: $15$ km/hr
Option 3: $\frac{164}{9}$ km/hr
Option 4: $\frac{139}{9}$ km/hr
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