If a person goes from home to his college at a speed of 12 km/h, he reaches 7 minutes early. If he goes at a speed of 8 km/h, he reaches 14 minutes late. What is the distance between his home and his college?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 8.4 km.
Concept Used :
Distance = Speed × Time
Given :
If a person walks at the speed of 12 km/hr, he reaches 7 minutes early
And if he walks at the speed of 8 km/hr, he reaches 14 minutes late.
Now, Let the distance be D km.
Time difference = 7 - (- 14) = 7 + 14 = 21 minutes
From the given question, D/8 - D/12 = 21/60
⇒ D/24 = 7/20
⇒ D = 42/5
⇒ D = 8.4
Hence the distance is 8.4 Km.