A boy travelled from the home to the college at the rate of 35 km/h and walked back at the rate of 3 km/h. If the whole journey took 6 h 30 min, then the distance of the college from the home (correct to 2 decimal places) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 17.96 km .
A boy travelled from home to the college at the rate of 35 km/h and walked back at the rate of 3 km/h.
Total time taken = 6 h 30 min = 6 + 1/2 = 13/2 hours
Time = Distance/Speed
Let the distance travelled by him be x km.
ATQ -
⇒ (x/35) + (x/3) = 13/2 hours
⇒ [(3x + 35x)/105] = 13/2
⇒ [(38x)/105] = 13/2
⇒ x = (13 × 105)/76
⇒ x = 17.96 km