If A Man Travels With 5/6th Of His Usual Speed, He Is Late By 15 Mins

1.	If A Man Travels With 5/6th Of His Usual Speed, He Is Late By 15 Mins. What Is The Usual Time Taken To Travel ?
Answer» SUPPOSE man's usual speed = s, and usual time = t So distance = speed time ==> d= st If he TRAVELS with 5/6th of his usual speed which is = s5/6 And time= (t+15) and distance, d = (s5/6)(t+15) {as distance will be same} st = (s5/6)(t+15) t= (5t+75)/6 t= 75 MIN. Suppose man's usual speed = s, and usual time = t So distance = speed time ==> d= st If he travels with 5/6th of his usual speed which is = s5/6 And time= (t+15) and distance, d = (s5/6)(t+15) {as distance will be same} st = (s5/6)(t+15) t= (5t+75)/6 t= 75 min.

If A Man Travels With 5/6th Of His Usual Speed, He Is Late By 15 Mins. What Is The Usual Time Taken To Travel ?

Answer»

SUPPOSE man's usual speed = s, and usual time = t

So distance = speed *time ==> d= s*t

If he TRAVELS with 5/6th of his usual speed which is = s*5/6

And time= (t+15) and distance, d = (s*5/6)*(t+15) {as distance will be same}

s*t = (s*5/6)*(t+15)

t= (5t+75)/6

t= 75 MIN.

Suppose man's usual speed = s, and usual time = t

So distance = speed *time ==> d= s*t

If he travels with 5/6th of his usual speed which is = s*5/6

And time= (t+15) and distance, d = (s*5/6)*(t+15) {as distance will be same}

s*t = (s*5/6)*(t+15)

t= (5t+75)/6

t= 75 min.