Jude is going away for a few days over half term with his family.
Jude and his family make a journey of 200 miles from their home to the coast.
1/10 of the journey is on roads with a speed limit of 40 miles per hour.
40% of the journey is on roads with a speed limit of 50 miles per hour.
The remainder of the journey takes a time of 1 hour 30 minutes.
Jude leaves home at 8:50am and does not exceed the speed limits on the journey.
Find the earliest time that Jude and his family could arrive at the coast.
Answer:
The first tenth of the journey is 20 miles so at 40mph it would take 30 minutes
The next 40% is 80 miles so at 50 mph it would take 1.6 hours or 1 hour and 36 minutes
Plus, the extra 90 minutes and the overall journey is 3 hours and 36 minutes
Therefore, Jude and his family could arrive at 12:26pm.