CAT
Exam
Numerical Ability
26 friends, A to Z, are running a 10 km race to raise awareness about cancer. The race is being run along the 100 m perimeter of a basketball court.
All 26 start from the same point at the same time and run in the same direction. Their speeds are in an Arithmetic progression, with A being the fastest and Z being the slowest.
A overtakes Z for the first time, 20 seconds after the start of the race. M takes 52 minutes 5 seconds to complete the race.
How many seconds after the start of the race, will all 26 be at the starting point together?
Read Solution (Total 1)
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- let speed of Z is z. difference is d...speed of M is z+13d=10000/3125=3.2 m/s. (z+25d)20-z*20=100. d=.2. z=.6. Now 100/.2=500 s. Ans is 500s
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