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Direction: Mohit Bhola must travel from Delhi to Mumbai covering 2600 km. He covers 1/52 fraction of distance by Auto rickshaw and 3.84% of distance by car. The remaining distance he covers via Train. The cost of travel by auto rickshaw and car is decided by the number of kilometres he covers. The c

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Direction: Mohit Bhola must travel from Delhi to Mumbai covering 2600 km. He covers 1/52 fraction of distance by Auto rickshaw and 3.84% of distance by car. The remaining distance he covers via Train. The cost of travel by auto rickshaw and car is decided by the number of kilometres he covers. The cost of travel by Auto rickshaw is Rs. 10 per km and by car is Rs. 26 per km. For train, the cost of travel is decided by the time taken by train. In the cycle of March to August month the cost of travel by trains is Rs. 130 per hour. In the cycle of September to February owing to bad weather condition month the cost of travel by train is Rs. 78 per hour.

Note: 3.84% = 1/26 of fraction.
The Average Speed of train in September to February is 195 km/h and March to August is 260 km/h. Then find the ratio of the cost of travel in March to August cycle to September to February Cycle of travelling in train.
1). 3 : 8
2). 1 : 2
3). 3 : 4
4). 1 : 7


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Answered by on | Votes 1 |

Distance travelled by train = 2600[1 - (1/26) - (1/52)] = 2450 Km

Time taken in March to August cycle = 2450/260

Cost in March to August cycle = 2450 × 130/260

Time taken in September to February cycle = 2450/195

Cost in September to February cycle = 2450 × 78/195

∴ Required Ratio = 5 : 4

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