Question

Ravi goes to his office at the rate of 5 km/hr and reaches 3 minutes late , However, if he travels at 15 km/hr, he is 5 minutes early . What is the distance of his office from his residence ?​

Answer 1

let exact time required to reach office= x

time taken when Ravi travels with a speed of 5km/hr = x+3 min =x+1/20 hr

distance =5km/hr×x+1/20

time taken when Ravi travels with a speed of 15km/hr = x-5 min =x+1/12 hr

distance=15km/hr×x+1/12

as distance is same

5km/hr×x+1/20=15km/hr×x+1/12

5x+1/20=15x+1/12