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In a 2000 m race, an athlete covered 800 m at a speed of 12 km/hr and 400 m in 6 minutes. If he completed the race in 18 minutes, what was his speed in the remaining part of the journey?
  • a)
    9 km/hr.
  • b)
    8 km/hr.
  • c)
    5 km/hr.
  • d)
    6 km/hr.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a 2000 m race, an athlete covered 800 m at a speed of 12 km/hr and ...
GIVEN:
Total track distance = 2000m
athlete covered 800 m at a speed of 12 km/hr and 400 m in 6 minutes
FORMULA USED:
Time = Distance / Speed
CALCULATION:
Speed in first 800 m = 12 km/hr. = 12 × (5/18) = 10/3 m/sec.
Time taken to cover 800 m = 800/(10/3) = 240 sec. = 4 minutes
Time taken to cover 400 m = 6 min. = 6 × 60 = 360 sec.
Time taken in remaining journey = (18 × 60) - 360 - 240 = 480 sec.
Distance covered in remaining journey = 2000 - 800 - 400 = 800 m
∴ Speed in remaining journey = 800/480 = (5/3) m/sec. = (5/3) × (18/5) = 6 km/hr.
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In a 2000 m race, an athlete covered 800 m at a speed of 12 km/hr and ...
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In a 2000 m race, an athlete covered 800 m at a speed of 12 km/hr and 400 m in 6 minutes. If he completed the race in 18 minutes, what was his speed in the remaining part of the journey?a)9 km/hr.b)8 km/hr.c)5 km/hr.d)6 km/hr.Correct answer is option 'D'. Can you explain this answer?
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