Multiple choice

A car covers a distance of $2 \ km$ in $2.5$ minutes. If it covers half of the distance with speed $40 \ km/hr$, the rest distance it shall cover with a speed of:

  1. $56 \ km/hr$
  2. $60 \ km/hr$
  3. $48 \ km/hr$
  4. $50 \ km/hr$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance = 2 km. Time = 2.5 min = 2.5/60 hr = 1/24 hr. Half distance = 1 km. Time for first half = 1 km / 40 km/hr = 1/40 hr. Remaining time = 1/24 - 1/40 = (5-3)/120 = 2/120 = 1/60 hr. Speed for second half = 1 km / (1/60 hr) = 60 km/hr.

AI explanation

Half the distance is 1 km, and the total time allowed is 2.5 minutes, which is 2.5/60 or 1/24 hours. The time taken to cover the first 1 km at 40 km/hr is 1/40 hours, so the remaining time is 1/24 minus 1/40, equaling 2/120 or 1/60 hours. To cover the remaining 1 km in 1/60 hours, the car must travel at 60 km/hr.

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