A runs at half his maximum speed for the full duration of the race He completes the race 60 minutes ...........

Quantitative Aptitude ( CCS) Data Table

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.

A runs at half his maximum speed for the full duration of the race. He completes the race 60 minutes after the time when he completed his painting. Find the distance that he covered when he completed the race.

7500 m

5600 m

8100 m

7800 m

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Explanation:

Total time taken to complete the painting by A= 180+ (0.5*60)= 210 minutes
Time taken to complete the race is 60 minutes more than this=210+60=270 minutes
We have time in minutes and speed= 0.5 m/s so convert it in metre/minute = 0.5*60 /60 sec= 30 m/min
Distance= speed*time= 30*270= 8100 m