Question 10

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______.


Correct Answer: 312

Let us assume the car's speed in first gear is x and in second gear is y.

From this, the car's speed in the fifth gear will be 5x. We are told that it takes twice the time to travel a certain distance in the second gear compared to the third gear. This means the car's speed in third gear is twice that of the car in second gear.

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