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tankabanditka [31]
3 years ago
10

Mr. Martinez walks 5 miles in 2 hours at a steady pace. How far can he walk in 1 hour and 15 minutes

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Junaid Mirza
Apr 5, 2018
2.8125 mile

Explanation:
Speed
=
Distance
Time
Speed
=
5 mile
2 hr
=
2.25 miles/hr
1 hr 15 min
=
1 hr
+
1
4

hr
=
1.25 hr
Distance = Speed × Time
=
2.25

miles
hr
×
1.25
hr
=
2.8125 mile
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Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

hypotenuse^2=base^2+perpendicular^2

Use pythagoras formula for triangle PQM.

PM^2=QM^2+PQ^2

PM^2=(6)^2+(8)^2

PM^2=36+64

PM^2=100

PM=10

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

PQ^2=QR^2+PR^2

(8)^2=QR^2+x^2

64-x^2=QR^2                   .....(1)

Use pythagoras formula for triangle MQR.

MQ^2=QR^2+MR^2

(6)^2=QR^2+(10-x)^2

36=QR^2+x^2-20x+100

36-x^2+20x-100=QR^2        .... (2)

From equation (1) and (2) we get

36-x^2+20x-100=64-x^2

20x-64=64

20x=128

x=6.4

Therefore length of PR is 6.4 units and option 4 is correct.

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