Daily Math Challenge

Time Hard Grade 6-8

A train leaves at 8:00 AM traveling at 60 mph. Another train leaves at 9:00 AM from the same station, traveling in the same direction at 75 mph. When will the second train catch up?

Answer
1:00 PM

How to solve it

1
First train head start: 60 miles (1 hour)
2
Closing speed: 75 - 60 = 15 mph
3
Time to catch up: 60 ÷ 15 = 4 hours
4
Second train catches up at: 9:00 + 4 hours = 1:00 PM

Hints

Calculate first train's head start

Find relative speed difference

Divide distance by relative speed

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