At 9:00 am Andrew left Exeter for Portsmouth, cycling at 12 miles per hour. At 10:00 am Stacy left Portsmouth for Exeter, cycling at 16 miles per hour. the distance from Exeter to Portsmouth is 20 miles. Find the time when they met.

Question

Mathematics

Aisha Mendoza

28 July, 10:48

At 9:00 am Andrew left Exeter for Portsmouth, cycling at 12 miles per hour. At 10:00 am Stacy left Portsmouth for Exeter, cycling at 16 miles per hour. the distance from Exeter to Portsmouth is 20 miles. Find the time when they met.

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Answers (1)

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Rayan Mcfarland · Answer 1

Andrew - 12 miles an hour to cover 20 miles - 1 and 2/5 hours - 1hr 24 mins

Arrives in Portsmouth at 10:24.

Stacy - 16 miles an hour to cover 20 miles - 1 and 1/5 hours - 1hr 12 mins

Arrives in Exeter at 11:12.

Stacy is always moving 12 minutes faster than Andrew. When Stacy leaves, Andrew is 8 miles from Portsmouth, which will take him 24 minutes to complete. Stacy will do 8 miles in 12 minutes, but by this time Andrew has cycled forward 4 miles (8 miles = 24 mins, 4 miles = 12 minutes), so Stacy would have met Andrew 6 minutes beforehand (8 miles = 12 mins, 4 miles = 6 mins) which makes the time -

1 hr + 12 mins - 6 mins = 11:06.

I apologise if this is wrong, my teacher was ill when we covered this subject.