SOLUTION: A man cycles from his office to his house at a speed of 5 km/hr and reaches 10 minutes late. If he cycles at a speed of 6 km/hr, he reaches 10 minutes early. What is the distance

Question 649492: A man cycles from his office to his house at a speed of 5 km/hr and reaches 10 minutes late. If he cycles at a speed of 6 km/hr, he reaches 10 minutes early. What is the distance between the office and his house?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance in km between house and office
Let = The travel time in hrs which is on time for him
given:
From office to house at 5 km/hr
(1)
From office to house at 6 km/hr
(2)
-----------------------
(1)
(2)
----------------
Substitute (1) into (2)
(2)
(2)
(2)
Plug this result back into (1) or (2)
(1)
(1)
(1)
the distance between his house and office is 10 km
check:
(2)
(2)
(2)
(2)
OK
(1)
(1)
(1)
(1)
(1)
(1)
OK

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