At 11:00 AM a bus left San Jose travelling to Los Angeles at 48 mph. Four hours later a motorcyclist started moving in the same direction from the same place at 72 mph. At what time the motorcycle will catch up to the bus?

Question

Mathematics

Eliana Sutton

9 May, 03:05

At 11:00 AM a bus left San Jose travelling to Los Angeles at 48 mph. Four hours later a motorcyclist started moving in the same direction from the same place at 72 mph. At what time the motorcycle will catch up to the bus?

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Answers (1)

Know the Answer?

Slade Massey · Answer 1

11.00 pm

Step-by-step explanation:

Given that at 11:00 AM a bus left San Jose travelling to Los Angeles at 48 mph. Hence in 4 hours it would have travelled

48x4 = 192 miles

When the bus travelled 192 miles a motorcyclist started in the same direction with speed 72 mph

Difference in speed per hour = 72-48 = 24 mph

TO cover the distance of 72 miles, time taken for the motorcycist would be

192/24 = 8 hours

In 8 hours or at 11.00 p. m. motorcycle will catch upto the bus,