Travel Problem (Meeting) Calculator

Find when two people moving toward each other from a given distance apart will meet, plus each person's travel distance and the meeting point.

Input

Find how long it takes for two people, a set distance apart, to meet when they move toward each other at the same time.

Distance between the two

Enter each person''s speed, using the same unit system as the distance.

Person 1 speed

m/min

Person 2 speed

m/min

Time until they meet

10min

Person 1 distance

700 m

Person 2 distance

500 m

Meeting point

700 m from person 1 start

Solution steps

Find the sum of the speeds: 70 plus 50 = 120 m/min.

Divide the distance by the combined speed to get the meeting time: 1,200 divided by 120 = 10 min.

Person 1 distance is speed times time: 70 times 10 = 700 m.

Person 2 distance is speed times time: 50 times 10 = 500 m.

In a meeting travel problem, two people move toward each other, so the gap between them shrinks each unit of time by the sum of their speeds.
The time until they meet equals the distance divided by the sum of the two speeds: time = distance divided by (speed1 plus speed2).
Each person's distance traveled equals their own speed multiplied by the meeting time.
The meeting point lies at person 1's travel distance from person 1's start, which equals person 2's travel distance from person 2's start.
Enter the distance and speeds in a consistent unit system, for example meters with meters per minute.

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