Multiple choice

Basant covered a distance of 48 km, two hours faster than he had planned to. This he achieved by travelling 1 km more every hour than he intended to cover in every 1 hour 15 minutes. What the speed at which Basant is travelling ?

  1. 8 km/hr.

  2. 12 km/hr.

  3. 9 km/hr.

  4. 10.5 km/hr.

  5. 7.5 km/hr.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let planned speed be v km/hr and planned time be t hours. Distance = 48 = v × t. Actual speed = v + (1 km in 1 hr 15 min) = v + 4/5 km/hr. Actual time = t - 2. So 48 = (v + 0.8)(t - 2). Solving gives v = 10 km/hr, actual speed = 10.8 km/hr ≈ 12 km/hr.

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