Distance covered by C while travelling with car bus and bicycle are 320 km 450 km and 150 km What is...........

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.

Distance covered by C while travelling with car, bus and bicycle are 320 km, 450 km and 150 km. What is the difference between sum of distance covered by A and B while travelling with bus and sum of distance covered by B while travelling with car and bicycle?

856 km

963 km

1005 km

1103 km

1245 km

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Explanation:

For C:
Time taken by car = 320/40 = 8 hours
Time taken by bus = 450/45 = 10 hours
Time taken by bicycle = 150/25 = 6 hours
Total time taken by A, B and C to cover the distance by car = 8 x 9/4 = 18 hours
Total time taken by A, B and C to cover the distance by bus = 10 x 18/5 = 36 hours
Total time taken by A, B and C to cover the distance by bicycle = 6 x 7/2 = 21 hours
For A:
Time taken by bus = 6 x 36/18 = 12 hours
For B:
Time taken by car = 2 x 18/9 = 4 hours
Time taken by bus = 7 x 36/18 = 14 hours
Time taken by bicycle = 3 x 21/7 = 9 hours
Distance covered by A and B while travelling with bus = 50 x 12 + 55 x 14 = 1370 km
Distance covered by B while travelling with car and bicycle = 35 x 4 + 25 x 9 = 365 km
Difference = 1370 - 365 = 1005 km