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LIC AAO Prelims PYP >> Feb 17, 2023 Shift 3 >> Quantitative Aptitude

Question :

The speed of a bike and a car is 25 km/h and 35 km/h respectively. The distance covered by bike is C km more than the distance covered by car, which is 49 km. If the car covers (24 + C) km in 2 hours, then find the ratio of the time taken by the bike to that by car.

1. 12:7

2. 15:8

3. 11:5

4. 19:7

5. 9:4

Correct Answer : 4
Solution :

Speed of bike = 25 km/h

Speed of car = 35 km/h

24 + C = 2*35 = 70

C = 46 km

Time taken by bike = (49 + 46)/25 = 95/25 = 19/5 hours

Time taken by car = 49/35 = 7/5 hours

Ratio of the time taken by the bike to that by car = (19/5):(7/5) = 19:7

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