How far in kilometers can Sumit drive into the company if he drives out at 40 kilometers per hour (kmph), returns over the same road at 30 kmph, and spends 8 hours away from home, including a one hour stop for lunch? Please explain how.
Sumit's actual driving time is 7 hours, which must be divided into two parts: his time spent driving into the company and his time spent returning.
Let the first part equals x, then the return time will be 7 - x.
Rate x time = distance
Going: (40)(x) = 40x
Returning: (30)(7 - x) = 210 - 30x
Because the journey is round trip, the distance going equal the distance returning.
Thus, we have:
40x = 210 - 30x
70x = 210
x = 3Hence, Sumit travelled 40 km/r fot 3 hours, so he travelled 120 km.