If a student walks from his home to school at the speed of 2.5 km/hr, he gets late by 6 min and if he increases his speed by 1 km/hr, he reaches 6 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 2.5 : 3.5
5 : 7
Time 7 : 5 → 2 (Difference)
2 → 12 (6 mins early + 6 mins late)
1 → 6 mins = \(\frac{6}{60}\) hr = \(\frac{1}{10}\) hr.
Therefore, Distance = speed × time = 2.5 × 7 × \(\frac{1}{10}\) = 1.75 Km