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m AT H s TE ST Here are some real examples from the Activity:Try and select the correct re A plane is making a 560-mile journey.If the plane travels at a speed of 160 miles per hour for the first 200 miles and then at a speed of 120 miles per hour for the rest of the journey how long will the journey take? a)3 hours and 15 minutes b)3 hours and 30 minutes (c) 4 hours and 15 minutes d) 4 hours and 30 minutes e) 5 hours n

Question

m AT H s TE ST
Here are some real examples from the
Activity:Try and select the correct re
A plane is making a 560-mile journey.If
the plane travels at a speed of 160 miles
per hour for the first 200 miles and
then at a speed of 120 miles per hour
for the rest of the journey how long will
the journey take?
a)3 hours and 15 minutes
b)3 hours and 30 minutes
(c) 4 hours and 15 minutes
d) 4 hours and 30 minutes
e) 5 hours
n

m AT H s TE ST Here are some real examples from the Activity:Try and select the correct re A plane is making a 560-mile journey.If the plane travels at a speed of 160 miles per hour for the first 200 miles and then at a speed of 120 miles per hour for the rest of the journey how long will the journey take? a)3 hours and 15 minutes b)3 hours and 30 minutes (c) 4 hours and 15 minutes d) 4 hours and 30 minutes e) 5 hours n

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Answer

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SebastianAdvanced · Tutor for 1 years

Answer

c) 4 hours and 15 minutes

Explain

## Step1:<br />A plane is making a 560-mile journey. The plane travels at a speed of 160 miles per hour for the first 200 miles. To find out how long this part of the journey takes, divide the total distance travelled (200 miles) by the speed (160 miles per hour). <br /><br />### \[Time_1 = \frac{Distance_1}{Speed_1} = \frac{200 miles}{160 miles/hour} = 1.25 hours.\]<br /><br />## Step2:<br />The plane then travels at a speed of 120 miles per hour for the rest of the journey. The rest of the journey is \(560 miles - 200 miles = 360 miles\). To find how long it will take, divide this distance by the speed.<br /><br />### \[Time_2 = \frac{Distance_2}{Speed_2} = \frac{360 miles}{120 miles/hour} = 3 hours. \]<br /><br />## Step3:<br />To get the total time of the journey, add \(Time_1\) and \(Time_2\).<br /><br />### \[TotalTime = Time_1 + Time_2 = 1.25 hours + 3 hours = 4.25 hours. \]
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