If a student walks from his home to school at the speed of 3 km/hr, he gets late by 4 min and if he increases his speed by 2 km/hr, he reaches 4 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 3 : 5
Time 5 : 3 → 2 (Difference)
2 → 8 (4 mins early + 4 mins late)
1 → 4 mins = \(\frac{4}{60}\) hr = \(\frac{1}{15}\) hr.
Therefore, Distance = speed × time = 5 × 3 × \(\frac{1}{15}\) = 1 Km