manav drives from his home to the nearest metro station at an average speed of 40 kmph. from the station, he boards a train that takes him to his office at a speed of 80 kmph. the entire distance covered by him is 52 km and the entire journey took him 1 hour. find the distance between the station from where he boards the train and his office?
Answers
Answer:
The distance from home to station is 29 km and the distance from station to office is 23 km
Step-by-step explanation:
Define x:
Let the journey by car be x km
The journey by train is (52 - x)km
Find the time taken to drive to the station:
Time Taken = Distance ÷ Speed
Time Taken = x/40 hour
Find the time taken for the journey on the train:
Time Take = Distance ÷ Speed
Time Taken = (52 - x)/80
Solve x:
The total time taken is 1 hour
x/40 + (52 - x)/80 = 1
(2x + 52 - x)/80 = 1
2x + 52 -x = 80
x + 52 = 80
x = 29 km
Find the distance:
Distance from home to station = x = 29 km
Distance from station to office = 52 - x = 52 - 29 = 23 km
Answer: The distance from home to station is 29 km and the distance from station to office is 23 km
Step-by-step explanation:
here..home to station distance is 28 and station to office is 52-28 i.e 24
