Tom left a motorway service station and travelled towards Glasgow at a steady speed of $60$mph. Tim left the same service station $10$ minutes after Tom and travelled in the same direction at a steady speed, overtaking Tom after a further $1$ hour $40$ minutes. At what speed did Tim travel?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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