33.1k views
2 votes
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?

User Seasong
by
5.4k points

1 Answer

4 votes

Answer:

The distance from the Zoo to the city is 80 km

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.

User Vasilii Angapov
by
4.9k points