Multiple choice

A car travels from P to Q at constant speed. If its speed is increased by 10 Km/h then it takes 1 hour less time to travel same distance. If its speed is further increased by 10 Km/hr it takes further 45 minute less. Find the distance between two cities.

  1. 540 km

  2. 420 km

  3. 600 km

  4. 620 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let speed = v, time = t. Distance d = vt. At v+10: d = (v+10)(t-1). At v+20: d = (v+20)(t-1.75). Solving these equations gives v = 60 km/h, t = 7 hours, d = 420 km. The key insight is setting up equations relating speed and time for constant distance.

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