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A robin can fly 10 miles per hour faster than a blue jay. It takes a robin 1 1/2 hours to fly 45 miles.

How many hours will it take a blue jay to fly that same distance?


Sagot :

Answer: [tex]2\dfrac14\text{ hours}[/tex]

Step-by-step explanation:

Given:  It takes a robin [tex]1\dfrac12[/tex] hours to fly 45 miles.

[tex]1\dfrac12=\dfrac32[/tex]

Speed of robin= [tex]\dfrac{distance}{time}=\dfrac{45}{\dfrac32}[/tex]

[tex]\dfrac{45}{3}\times2= 15\times2= 30\text{ miles per hour}[/tex]

A robin can fly 10 miles per hour faster than a blue jay. It

Speed of Blue jay = Speed of robin - 10 miles per hour

= 30 miles per hour - 10 miles per hour

= 20 miles per hour

Time taken to cover 45 miles = [tex]\dfrac{45}{20}=\dfrac{9}{4}=2\dfrac14\text{ hours}[/tex]

Hence, it will take [tex]2\dfrac14\text{ hours}[/tex]  by a blue jay to fly that same distance.