C starts running at his maximum speed and runs for 136 minutes at this speed What total distance did...........

Quantitative Aptitude ( CCS) Data Table

Direction : Read the information below and answer the questions that follow.

Five people A, B, C, D and E took part in a competition which comprises of completing a painting while they are in a running position. The table below shows the time taken by them to complete a painting when they are in static position and their maximum speed. When in running position the time taken by them to complete a painting increased by (60*n) minutes where n is the speed at which they are running at that moment.
Note: Take n in m/s. When we say time is increased by (60*n) minutes, it means that time increased is directly proportional to n. A person has to start drawing the painting as soon as he starts running.

Person	Time for completing the painting in static position (in minutes)	Maximum speed(in m/s)
A	180	1
B	150	1.5
C	300	1.8
D	240	1.6
E	210	0.8

C starts running at his maximum speed and runs for 136 minutes at this speed. What total distance did he cover while completing the race if he completes the painting exactly when he finishes his race running at 1 m/s for the remaining distance.

26,616 m

28,116 m

31,626 m

27,518 m

30,288 m

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Explanation:

When running at 1.8 m/s time required= 300 + (1.8*60)= 408 minute
Distance travelled= speed*time= 108 m/min*136 min= 14688 m
Part of painting completed in 136 min= 136/408=1/3
remaining = 2/3
this 2/3 part can be completed in 2/3*300=200 minutes in static position by C
when running at 1 m/s time taken to complete 2/3 part = 200 + 1*60= 260 minute
distance= speed*time= 260*60= 15600
total distance= 14688+ 15600 m

Hence, option 5 is the correct answer.