Question

Ram travels a certain distance at 3km/hr and reached 15 min late. If he travels at 4 km/hr, he reached 15 min earlier.
What is the distance he has to travel.

Answer 1

. Let L be the distance Ram has to travel. T be the time to reach the distance
. At 3 Kmph, Ram will reach the distance in T + 15 minutes
. At 4 Kmph, Ram will reach the distance in T - 15 minutes
The following equations can be set up
L = 3 Kmph * ( T + 15) minutes * 1 hr/ 60 minutes
L = 4 Kmph * ( T - 15 ) minutes * 1 hr/ 60 minutes
Solving the above two equations.
3 ( T + 15) = 4 ( T - 15) ; T = 105 minutes
L = 3 * ( T + 15) / 60 = 6 Kms
The solution is 6 Kms