Time

Weekly Problem 21 - 2009
What is the angle between the two hands of a clock at 2.30?

Frank and Gabriel competed in a 200m race. Interpret the different units used for their times to work out who won.

Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?

A decimal clock is started at midnight. What time would it show at 6 o'clock in the morning?

Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?

Anne completes a circuit around a circular track in 40 seconds. Brenda runs in the opposite direction and meets Anne every 15 seconds. How long does it take Brenda to run around the track?

A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same direction. Buses leave the depot at regular intervals; they travel along the dual carriageway and back to the depot at a constant speed. At what interval do the buses leave the depot?

My train left London between 6 a.m. and 7 a.m. and arrived in Paris between 9 a.m. and 10 a.m. At the start and end of the journey the hands on my watch were in exactly the same positions but the minute hand and hour hand had swopped places. What time did the train leave London and how long did the journey take?