if a scooterist drives at a rate of 24km/hr.from his home.he reaches his work place 5 minutes late.but if he drives at a rate of 30km/he.he reaches his work place 4 minutes early.find the distance of his work place and home

if a scooterist drives at a rate of 24km/hr.from his home.he reaches h

1.	if a scooterist drives at a rate of 24km/hr.from his home.he reaches his work place 5 minutes late.but if he drives at a rate of 30km/he.he reaches his work place 4 minutes early.find the distance of his work place and home
Answer» N :let the distance of WORK place from home be X kmCase I :speed of scooterist = 24 km/hrlet the time taken be t_1 hour speed = distance/time24 = x/t_1t_1 = x/24Case II ;speed of scooterist = 30 km/hrlet the time taken be t_2 hour speed = distance/time30 = x/t_1t_1 = x/30ATQ :t_1 - t_2 = 9 minutes = 9/60 hours x/24 - x/30 = 9/605x - 4x/120 = 9/60x = 9 x 120/60x = 9 x 2x = 18 km=> the distance of his work place and home of scooterist is 18