After driving half the way from the city to the Zoo, I passed a tour bus traveling at an average speed of 78 km/h in the opposite direction from the Zoo to the city. When I reached the Zoo 20 minutes after passing the bus, the bus was still 14 km from the city. How far was the Zoo from the city? Can someone please solve this for me?

The distance from the Zoo to the city is 80 km

Step-by-step explanation:

The given information are;

The speed of the tour bus = 78 km/h

The point of passing the tour bus = Half way between the city and the Zoo

The time taken after passing the tour bus when it was still  14 km from the city = 20 minutes = 20/60 hour = 1/3 hour

Therefore, we have that the distance covered by the tour bus in 1/3 hour  = Time ×Speed = 1/3×78 = 26 km

The distance remaining for the tour bus to reach the city = 14 km

The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo

Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km

∴ 40 km = Half the distance from the city to the Zoo

Which gives;

The distance from the Zoo to the city = 2 × 40 km = 80 km.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have