The sum of distance covered by A while travelling on foot and by car is 165 km the sum of distance c...........

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.

The sum of distance covered by A while travelling on foot and by car is 165 km, the sum of distance covered by him on travelling with car and bicycle is 255 km and the sum of distance covered by him while travelling with bicycle and foot is 150 km. What is the ratio of sum of time taken by B to cover the distance by car and bicycle to the sum of time taken by C to cover the distance by car and bicycle?

2: 1

1: 2

3: 5

5: 4

None of these

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Explanation:

Let a, b and c are distance covered by A on travelling with foot, car and bicycle respectively. Then,
a + b = 165 km
b + c = 255 km
a + c = 150 km
b - a = 255 - 150 = 105 km
b = 105 + a
a + 105 + a = 165
a = 30 km
b = 105 + 30 = 135 km
c = 150 - 30 = 120 km
Time taken by A to cover distance by car = 135/45 = 3 hours
Time taken by A to cover the distance by bicycle = 120/30 = 4 hours
Total time taken by A, B and C to cover the distance by car = 3 x 9/3 = 9 hours
Total time taken by A, B and C to cover the distance by bicycle = 4 x 7/2 = 14 hours
Time taken by B to cover distance by car = 2 x 9/9 = 2 hours
Time taken by B to cover the distance by bicycle = 3 x 14/7 = 6 hours
Time taken by C to cover distance by car = 4 x 9/9 = 4 hours
Time taken by C to cover the distance by bicycle = 2 x 14/7 = 4 hours
Sum of time taken by B to cover the distance by car and bicycle = 2 + 6 = 8 hours
Sum of time taken by C to cover the distance by car and bicycle = 4 + 4 = 8 hours
Ratio = 8: 8 = 1: 1