Question

Mark is going out to meet his friend at a restaurant. If he rides a bus that travels 30km/h, he will arrive 10 minutes late. He takes a taxi instead that travels 40km/h and arrives there 5 minutes earlier than the appointed time. Find the distance from his house to the restaurant.

Answer 1

Explanation:

distance / rate = time

d / 30 - 1/6 = d/40 + 1/12 1/6 hr = 10 min 1/12 hr = 5 min

Solve for 'd'

d/120 = 1/4

d = 1/4 * 120 = 30 km