Multiple choice

A car is moving with a speed of $72 {km}/{h}$ towards a hill. Car blows horn at a distance of $1800 m$ from the hill. If echo is heard after $10 s$, the speed of sound (in ${m}/{s}$) is

  1. $300$
  2. $320$
  3. $340$
  4. $360$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Distance traveled by sound = 2 * distance to hill - distance traveled by car in 10s. Distance to hill = 1800m. Car speed = 72 km/h = 20 m/s. In 10s, car moves 200m. Sound travels 1800 + (1800 - 200) = 3400m. Speed of sound = 3400m / 10s = 340 m/s.

AI explanation

The car is traveling at 72 kmph, which converts to 20 m/s. The horn is sounded 1800 m from the hill, and the echo is heard after 10 s, during which the car moves 20 m/s multiplied by 10 s, or 200 m. The sound travels the initial 1800 m to the hill and reflects back to meet the car, covering a total distance of 1800 m + (1800 m - 200 m) = 3400 m. Dividing this total distance by 10 s gives the speed of sound as 340 m/s.