Rehana leaves her home early in the morning so that she can reach her office on time. If she walks at the rate of 7 km/hr then she reaches her office 8 minutes late. But, if she walks at a speed of 8 km/hr, then she reaches her 4 minutes early. What is the distance in km between Rehana's house and her office?

Correct Answer: 11.2
In both situation she is walking the same distance. So rate × time for first trial has to be equal for rate× time for second trial. We know that trial 1 takes (8 + 4) men or 12 min or 1260 hrs longer than trial 2 let time for trial 2 be T So, 8×T = 7×(T + 1260) T = 7×1260 = 75 so Distance = 8×T = 8×75 = 565 = 11.2 km