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13 Distance and Speed

Basic Concepts Time Taken for Two people to Meet

The time taken for two people walking in opposite directions to meet is:
(Distance between the two people) (Sum of speeds)

Distance between 2 people
Distance between 2 people

The time taken for two people walking in the same direction to meet is:
(Distance that needs to be caught up) (Difference between speeds)

Distance to catch up

Distance to catch up

Example Grace and Becky lef t their homes at the same time and met 10
minutes later. If Grace walked 50 m in one minute and Becky
walked 40 m in one minute, what is the distance between Grace’s
and Becky ’s house?

Grace's house Becky's house

Class Notes

In one minute, Grace walked 50 m in one minute and Becky walked 40 m towards each

other. Therefore, the distance between the two people decreased by m every
minute.

The distance between the two houses is equal to the distance decreased in 10 minutes.

Therefore, the distance between the two houses is 10 m.

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