A man has to reach a certain place at a certain time . If he walks 4km an hour he is 20 min too late and if he walks 5km an hour he is 10 min too early . Find the distance he has to walk?
Answers
Answer:
Let the distance be d, and time accordingly is t.
Speed = distance/time
= > distance/speed = time
when he walks 4km / hr -
= > or. time + 20 min = d/4
= > d/s + 1/3 hr = d/4
= > d/s = d/4 - 1/3
when he walks 5km / hr -
= > or. time - 10 min = d/5
= > d/s - 1/6 hr = d/5
= > d/s = d/5 + 1/6
from above,
= > d/4 - 1/3 = d/5 + 1/6
= > d/4 - d/5 = 1/6 + 1/3
= > d/20 = 1/2
= > d = 20/2
= > d = 10 km
Distance we has to walk is 10 km.
Answer:
Step-by-step explanation:
Let the distance be d, and time accordingly is t.
Speed = distance/time
= > distance/speed = time
when he walks 4km / hr -
= > or. time + 20 min = d/4
= > d/s + 1/3 hr = d/4
= > d/s = d/4 - 1/3
when he walks 5km / hr -
= > or. time - 10 min = d/5
= > d/s - 1/6 hr = d/5
= > d/s = d/5 + 1/6
from above,
= > d/4 - 1/3 = d/5 + 1/6
= > d/4 - d/5 = 1/6 + 1/3
= > d/20 = 1/2
= > d = 20/2
= > d = 10 km
Distance we has to walk is 10 km.