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You and your friend decide to race from your house to the shop and back. Your friend runs at 6.0 m/s for the entire race. You start off slow running at 3.0 m/s on your way to the shop but speed up to 9.0 m/s on the way back in an effort to win. If the distance between your house and the shop is 1.5 km, by what time interval (in minutes) did your friend beat you

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onyebuchinnaji

The time interval in which your friend beats you is determined as 4.2 minutes.

Time in which you catch up with your friend

The time interval in which your friend beats you is determined from the principle of relative velocity.

(Va - Vb)t + (Vc - Vd) = d

(6 - 3)t  - (6 - 9)t = 1500

6t = 1500

t = 1500/6

t = 250 s

Time in minutes = 250 s/ (60s/min) = 4.2 minutes

Thus, the time interval in which your friend beats you is determined as 4.2 minutes.

Learn more about time interval here: https://brainly.com/question/479532

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