If a student walks from his home to school at the speed of 4 km/hr, he gets late by 12 min and if he increases his speed by 3 km/hr, he reaches 12 min earlier. Find the distance between his home and school.
Answer & explanation
Correct answer: option 4
Distance is same, therefore speed is inversely proportional to time.
I II
Speed 4 : 7
Time 7 : 4 → 3 (Difference)
3 → 24 (12 mins early + 12 mins late)
1 → 8 mins = \(\frac{8}{60}\) hr = \(\frac{2}{15}\) hr.
Therefore, Distance = speed × time = 4 × 7 × \(\frac{2}{15}\) = \(\frac{56}{15}\) Km