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Duplain st. is 300m long and runs from west to east between Baron and Burkey. If keith is strolling east from Baron at an average velocity of 3km/hr, and Sue is power-walking west from Burkey at an average velocity of 6km/hr, how long will it take them to meet?

A. 1 minute
B. 2 minutes
C. 3 minutes
D. 6 minutes

User AaronMT
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6.5k points

1 Answer

6 votes

Answer:

Time, t = 2 minutes

Step-by-step explanation:

Given that,

Length of Duplain st. d = 300 m = 0.3 km

If keith is strolling east from Baron at an average velocity of, v = 3 km/hr

Sue is power-walking west from Burkey at an average velocity of, v' = 6 km/hr

To find,

How long will it take them to meet ?

Solution,

When both objects are travelling in opposite direction, then the total speed is given by :

V = v + v'

V = 3 km/hr + 6 km/hr

V = 9 km/hr

Let t is the time taken will it take them to meet. It can be calculated as :


t=(d)/(V)


t=(0.3\ km)/(9\ km/hr)

t = 0.033 hour

or

t = 1.98 minutes

i.e. t = 2 minutes

So, they will take 2 minutes to meet. Hence, this is the required solution.

User Braydon
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