Vinita drives a car which has four gears. The speed of the car in the fourth gear is five times its speed in the first gear. The car takes twice the time to travel a certain distance in the second…
Question and options
Vinita drives a car which has four gears. The speed of the car in the fourth gear is five times its speed in the first gear. The car takes twice the time to travel a certain distance in the second gear as compared to the third gear. In a 100 km journey, if Vinita travels equal distances in each of the gears, she takes 585 minutes to complete the journey. Instead, if the distances covered in the first, second, third, and fourth gears are 4 km, 4 km, 32 km, and 60 km, respectively, then the total time taken, in minutes, to complete the journey, will be
- 624
- 273
- 312
- 585
Answer and explanation
Correct answer: C - 312
The journey takes minutes. Let be minutes per kilometre in first and second gear, so third and fourth require and minutes per kilometre. The equal-distance trip gives , and the changed distances give . The value is the time saved.
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IPMAT Indore
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