If time taken by A to cover the distance by car is 9 hr and time taken by C to cover distance by tra...........

Quantitative Aptitude ( CCS) Time & distance

Study the following information carefully and answer the related questions.
Bar graph shows the speed(km/hr) of A, B and C while travelling with different vehicles.
Table shows the ratio of time taken by A, B and C to travel by different vehicles.

If time taken by A to cover the distance by car is 9 hr and time taken by C to cover distance by train is 50% of time taken by him to cover the distance by car, total distance covered by A, B and C by train is what percent more/less than distance covered by them by car when their speeds by car is increased by 20% and their speeds by train is increased by 10% respectively?

12%

15%

21%

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Explanation:

Time taken by A to cover the distance by car = 9 hour
Total time taken by A, B and C to cover the distance by car = 9 x 9/3 = 27 hours
Time taken by B to cover the distance by car = 2 x 27/9 = 6 hours
Time taken by C to cover the distance by car = 4 x 27/9 = 12 hours
Speed of car driven by A = (120/100) x 45 = 54 km/hr
Speed of car driven by B = (120/100) x 35 = 42 km/hr
Speed of car driven by C = (120/100) x 40 = 48 km/hr
Distance covered by A by car = 54 x 9 = 486 km
Distance covered by B by car = 42 x 6 = 252 km
Distance covered by C by car = 48 x 12 = 576 km
Total distance covered by car = 486 + 252 + 576 = 1314 km
Time taken by C to cover the distance by train = (50/100) x 12 = 6 hours
Total time taken by A, B and C to cover the distance by train = 6 x 27/9 = 18 hours
Time taken by A to cover the distance by train = 7 x 18/27 = 14/3 hours
Time taken by B to cover the distance by train = 11 x 18/27 = 22/3 hours
New speed of A by train = (110/100) x 70 = 77 km/hr
New speed of B by train = (110/100) x 75 = 82.5 km/hr
New speed of C by train = (110/100) x 65 = 71.5 km/hr
Distance covered by A by train = 77 x 14/3 = 359.33 km
Distance covered by B by train = 82.5 x 22/3 = 605 km
Distance covered by C by train = 71.5 x 6 = 429 km
Total distance covered by train = 359.33 + 605 + 429 = 1393.33 km
Percentage = ((1393.33 - 1314)/1314)x 100 = 6%