Multiple choice

The average speed of a car is $\dfrac {9}{5}$ times the average speed of a bus. A tractor covers $575$ km in $23$ hours. How much distance will the car cover in $4$ hours, if the speed of the bus is twice the speed of the tractor?

  1. $340$ km
  2. $360$ km
  3. $450$ km
  4. $480$ km
  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Tractor speed = 575 / 23 = 25 km/h. Bus speed = 2 * 25 = 50 km/h. Car speed = (9/5) * 50 = 90 km/h. Distance = 90 * 4 = 360 km.

AI explanation

First, find the speed of the tractor by dividing 575 km by 23 hours, which gives 25 km/hr. Since the bus is twice as fast as the tractor, the speed of the bus is 50 km/hr. The car's speed is 9/5 times the speed of the bus, making it 90 km/hr, so in 4 hours the car covers 90 km/hr multiplied by 4 hours, which is 360 km.