3 years ago

Please help me I have been stuck on this question for 35 minutes

Mathematics

1 answer:

34kurt3 years ago

7 0

Remaining angle = 180-90-60=30
by sine rule
8/sin30 = x/sin90
x = 8/0.5=16

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The average speed is equal to the ratio between the total distance ( $d_{tot}$ and the total time taken ( $t_{tot}$ ):

$v=\frac{d_{tot}}{t_{tot}}$

the distance travelled by the trucker in the first 3 hour can be written as the time multiplied by the velocity:

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The total time is equal to the first 3 hours + the time taken to cover the following 20 miles in the city:

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Since we know the value of the average speed, $v=57.14 mph$ , we can substitute it into the previous equation to find the value of $t_2$ , the time the trucker drove in the city:

$v=\frac{200 mi}{3h +t_2}\\3h+t_2 = \frac{200 mi}{v}\\t_2 = \frac{200 mi}{v}-3h=\frac{200 mi}{57.14 mph}-3 h=0.50 h$

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