If speed of car driven by A B and C is increased by 20 20 and 25 respectively and new time taken by ...........

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 speed of car driven by A, B and C is increased by 20%, 20% and 25% respectively and new time taken by B to cover the distance by car is 10 hours, what is the sum of actual time taken by A, B and C for the same distance covered?

40 hours

42 hours

45 hours

50 hours

55 hours

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Explanation:

New speed of car driven by A = (120/100) x 45 = 54 km/hr
New speed of car driven by B = (120/100) x 35 = 42 km/hr
New speed of car driven by C = (125/100) x 40 = 50 km/hr
New time taken by B to cover the distance by car = 10 hours
New total time taken by A, B and C to cover the distance by car = 10 x 9/2 = 45 hours
New time taken by A to cover the distance by car = 3 x 45/9 = 15 hours
New time taken by C to cover the distance by car = 4 x 45/9 = 20 hours
Distance covered by A = 54 x 15 = 810 km
Distance covered by B = 42 x 10 = 420 km
Distance covered by C = 50 x 20 = 1000 km
Actual time taken by A = 810/45 = 18 hours
Actual time taken by B = 420/35 = 12 hours
Actual time taken by C = 1000/40 = 25 hours
Sum = 18 + 12 + 25 = 55 hours