High School

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You and a friend each drive 49 km to the same destination. You travel at 89.3 km/h and your friend at 98.2 km/h. How long will your friend wait for you at the end of the trip?

Answer in units of minutes.

Answer :

Answer:

time, t = 3.6 min

Given:

Distance covered, d = 49 Km

My travel speed, v = 89.3 km/h

Friend's travel speed, v' = 98.2 km/h

Solution:

From the formula of speed, distance and time:

[tex]time, T = \frac{distance, d}{speed}[/tex]

Time taken by me, T;

[tex]time, T = \frac{d}{v}[/tex]

[tex]time, T = \frac{49}{89.3} = 0.55 h[/tex]

Now,

Time taken by friend:

[tex]time, T' = \frac{d}{v'}[/tex]

[tex]time, T = \frac{49}{98.2} = 0.49 h[/tex]

Friend's wait time, t = T - T' = 0.55 - 0.49 = 0.06 h

In minutes;

t = [tex]0.06\times 60 = 3.6 min[/tex]

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