Answer:
to the shop : 5/8 of an hour
back home : 3/8 of an hour
Step-by-step explanation:
We use the relationship between distance travelled, speed and time given by the formula:
speed = distance / time
We know that the distance from home to the coffee shop is D (same for trip back)
We also know the two speeds in one direction 9 mph and in the other 15 mph
then we can find the times t1 (to the coffee shop) and back (t2) by using the equations:
D = 9 * t1
D = 15 * t2
1 = t1 + t2
We set the two distances equal to have:
9 * t1 = 15 * t2
then t1 = 15 * t2 / 9 = 5 t2 / 3
and use this to substitute for t1 in the last equation:
t1 + t2 = 5 t2/3 + t2 = 1
8 t2 /3 = 1
then t2 = 3/8 of an hour
and therefore t1 must be 1 - t2 = 5/8 of an hour
Yes, 2/3 of 12 is 8.
8 is greater than 7
Imagine the shadow and the building height forms a right angle triangle;
We know the height and the shadow make up the "legs" of the triangle,
a²+b²=c²
(750)²+(111)²=c²
562500+12321=c²
574821=c²
c=√574821
c=758.169 ≈ 758.2 ft
Hope I helped :)