Privacy Policy + T&C

We use cookies to personalise our content and ads, and for traffic analysis. Information about your use of our site is shared with our advertising and analytics providers. You also agree to our T&C.


Common Answers

Have you entered August's Common Answers?

BB Logo Spacer

Puzzle - Answer

CycleYesterday I went for a short bicycle ride around the local lakes. As the weather was very hot, I rode in various stages.

In the first stage I rode half of the overall distance.

Stage two saw half of the remaining distance plus 35 metres covered.

Stage three covered three-quarters of the remaining distance.

Stage four completed half of the remaining distance plus 75 metres.

Stage five completed the journey with a final burst of 150 metres.

How far did I cycle in total?

 [Ref: ZOFE] © Kevin Stone

Answer: 7,340 metres.

---- Solution ----

Stage 1: cycled 3,670m leaving 3,670m
Stage 2: cycled 1,870m leaving 1,800m
Stage 3: cycled 1,350m leaving   450m
Stage 4: cycled   300m leaving   150m
Stage 5: cycled   150m leaving     0m

---- Solution Method ----

Stage 5's clue tells us that there were 150m left. So the distance left at the start of Stage 4 must have been:

Dist4 = Dist4 + 75 + 150
Which simplifies to give Dist4 = 450m.

Stage 3's clue tells us that 450m was one quarter of the remaining distance, so Dist3 = 1,800m.

Stage 2's clue tells us that the distance at the start of Stage 2 was:

Dist2 = Dist2 + 35 + 1800
Which simplifies to give Dist2 = 3,670m.

Stage 1's clue tells us that 3,670m was half the overall distance, which means the entire ride was 7,340m QED.

Back to the puzzles...



This website uses cookies, for more information please view our privacy policy. By using the site you also agree to our terms and conditions.