2 hours at 45 mph gives a distance of 90 miles
he has another 90 miles to travel
total distance=rate*(total time)
his average speed must be 60 mph
180=60*(2+t) where t is the amount of time he has to travel the other 90 miles
180=120+60t
180-120=60t
60=60t
t=60/60
t=1 hour
Sam must travel 90 miles in 1 hour, thus Sam must travel 90 miles per hour to have an average of 60 mph
90 mph is the answer
you can check by using the harmonic mean if you understand what it is:
(2*45*90)/(45+90)=8100/135=60
you can also find the answer using the harmonic mean:
(2*45*R)/(45+R)=60
(2*45*R)=60*(45+R)
90R=2700+60R
90R-60R=2700
30R=2700
R=2700/30
R=90 mph must be Sam's speed for the other 90 miles to average 60 mph
Answer: the distance from one corner of the field to the other corner is 136 m
Step-by-step explanation:
The distance from one corner to the other corner is the diagonal and it
divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 110² + 80²
d² = 12100 + 6400 = 18500
d = √18500
d = 136 meters
600x1000 is how you would convert it
Answer:
1/6
Step-by-step explanation:
hope this help