Answer:
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.
