If a student walks from his home to school at the speed of 5 km/hr, he gets late by 24 min and if he increases his speed by 4 km/hr, he reaches 24 min earlier. Find the distance between his home and school.
Answer & explanation
Correct answer: option 3
Distance is same, therefore speed is inversely proportional to time.
I II
Speed 5 : 9
Time 9 : 5 → 4 (Difference)
4 → 48 (24 mins early + 24 mins late)
1 → 12 mins = \(\frac{12}{60}\) hr = \(\frac{1}{5}\) hr.
Therefore, Distance = speed × time = 5 × 9 × \(\frac{1}{5}\) = 9 Km