A and D take part in a relay race of distance 12 km to be covered by A and D in equal half parts Fir...........

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

A and D take part in a relay race of distance 12 km to be covered by A and D in equal half parts. First A will cover the half distance while completing the painting and then hand over the painting to D and then D will cover the remaining half while completing the painting. A start the race and hands over the painting to D after half distance find the part of the painting that remains incomplete after D has finished the race. (A runs at his maximum speed while D runs at 0.8 m/s)

63/188

65/187

67/188

65/188

67/187

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Explanation:

Speed of A= 60m /min – to cover half distance i.e 6 km
Time required by A=6000/60= 100 min
time required to complete the painting= 180 + (1*60)=240
part completed=10/240=5/12; part remaining= 7/12
To complete this 7/12 part in static position D will take 7/12*240 min=140 min
so when running at 0.8 m/s he will take = 140 + (0.8*60)= 188 min
Total time to complete the race= 6000/48=125 min
So part of painting remaining = 1 – 125/188= 63/188

Hence, option 1 is the correct answer.