Multiple choice

A car travel 36 km less than a bus in T hours. Speed of bus is 12 km/hr more than speed of car, if speed of car is 52 km/hr. Find how much distance will be covered by car in (T- 1/2) hours?

  1. a) 130 km

  2. b) 140 km

  3. c) 145 km

  4. d) 135 km

  5. e) 125 km
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A Correct answer
Explanation

The bus is 12 km/hr faster than the car, so in T hours it travels 12T km more. Since the difference is 36 km, T = 3 hours. The car travels 52 × (3 - 1/2) = 52 × 2.5 = 130 km.

AI explanation

The speed of the bus is calculated as 52 plus 12, resulting in 64 km/hr. Using the formula Distance = Speed x Time, the difference in distance covered by the bus and the car in T hours is written as 64T minus 52T equals 36. Solving this equation gives T equal to 3 hours. To find the distance covered by the car in (T minus 0.5) hours, we multiply its speed by 2.5 hours, so 52 multiplied by 2.5 equals 130 km.

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