Question : A car moves at the speed of 108 km/hr after repairing and moves at the speed of 72 km/hr before repairing. It covers a distance of $x$ km in 3 hours after repair. How long will it take to cover a distance of $5x$ km before repairing?
Option 1: 25 hours 20 minutes
Option 2: 24 hours
Option 3: 20 hours 40 minutes
Option 4: 22 hours 30 minutes
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Correct Answer: 22 hours 30 minutes
Solution : Given: Speed after repairing = 108 km/hr Speed before repairing = 72 km/hr Distance covered after repairing = x km Time taken after repairing = 3 hours Distance = Time × Speed Distance covered after repairing = $x$ km ⇒ $x$ = 108 × 3 = 324 km Distance before repairing = $5x$ = 5 × 324 = 1620 Km Time taken before repairing = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{1620}{72}$ = 22 hours 30 minutes Therefore the car will take 22 hours 30 minutes to cover the $5x$ distance before repairing. Hence, the correct answer is '22 hours 30 minutes'.
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Question : A car travels at a speed of 60 km/h and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/h?
Option 1: 2.5 hours
Option 2: 2 hours
Option 3: 1.5 hours
Option 4: 1 hour
Question : Rajinder drives his car at an average speed of 40 km/hr to cover half of his total distance and thereafter he increases his speed to 60 km/hr. He covers his journey in 7 hours. What is the average speed of Rajinder on this journey?
Option 1: 52 km/hr
Option 2: 48 km/hr
Option 3: 50 km/hr
Option 4: 54 km/hr
Question : Aman decided to cover a distance of 12 km in 78 minutes. He decided to cover the initial two-thirds of the distance at 10 km/hr and the remaining at some different speed. Find the speed for the last one-third of the distance.
Option 1: 7.8 km/hr
Option 2: 8 km/hr
Option 3: 8.4 km/hr
Option 4: 9 km/hr
Question : Speed of stream is 4 km/hr and the speed of boat is 11 km/hr. In how much time will the boat cover a distance of 21 km upstream and 45 km downstream?
Option 1: 6 hours
Option 2: 3 hours
Option 3: 4 hours
Option 4: 7 hours
Question : Kapila covers a distance of 1200 metres in 10 minutes. What is the speed of Kapila?
Option 1: 1.2 km/hr
Option 2: 72 km/hr
Option 3: 120 km/hr
Option 4: 7.2 km/hr
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