Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.
Mathematically, the distance (traveled) by a physical object can be calculated by using this formula:
Distance = speed × time
Making time the subject of formula, we have:
Time = distance/speed
Next, we would calculate the amount of time it will take for the two couriers to meet:
t = d/(Vm + Vn)
t = 8/(1 + 3)
t = 8/4
Time, t = 2 hours.
For the meeting time, we have:
Meeting time = 8:00 AM + 2 hours
Meeting time = 10:00 AM.
For the distance from M, we have:
Distance = 1 × 4
Distance = 4 km.
For the distance from N, we have:
Distance = 3 × 4
Distance = 12 km.
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Complete Question:
Two couriers leave two cities M and N(N is west of M) distant from each other 8kms and both go east. The one from M leaves at 6:00am and goes 1k/h and the one from N leaves at 8:00am and walks 3k/h. At what time did they meet and at what distance from M and N?
