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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