Two cars A and B left Ludhiana for Chandigarh
at the same time. Car A for the first half of the
path travelled at a speed of 120 km/h and the
second half of the path at a speed of 80 km/h.
Car B travelled at a speed of 120 km/h for first
half of the time and at a speed of 80 km/h for
the second half of the time.
Answers
Car A and Car B will meet mid-way (50 Km) between Ludhiana and Chandigarh or 30 minutes after they start
Explanation:
Given: Two cars A and B left Ludhiana for Chandigarh at the same time. Car A for the first half of the path traveled at a speed of 120 km/h and the second half of the path at a speed of 80 km/h. Car B traveled at a speed of 120 km/h for first half of the time and at a speed of 80 km/h for the second half of the time.
Find: When they will meet
Solution:
A and B are traveling in opposite direction. Assuming distance between Ludhiana and Chandigarh is 100 Km.
Car A & B:
Travels 50 Km at 120 Km/h and 50 Km at 80 Km/h
Time taken = distance / speed = 50 / 120 and 50 / 80 = 5 / 12 hr + 5 / 8 hr = 10 + 15 / 24 = 25/24 = 1 hour.
Both cars will cover the whole distance in 1 hour.
Car A and Car B will meet mid-way (50 Km) between Ludhiana and Chandigarh as they are traveling at the same speed at any given time. They will meet after 30 minutes of their travel.